Mathematics › Limits
Limits Questions
219 questions across 9 subtopics — with step-by-step solutions.
1 power infinty based(15)
- If and , then the value of is | Mathematics | TestHub
- Let, thenis equal to | Mathematics | TestHub
- If, thenis equal to | Mathematics | TestHub
- Letbe a differentiable function satisfying... | Mathematics | TestHub
- is equal to | Mathematics | TestHub
- is equal to | Mathematics | TestHub
- Ifandare the roots of the equation,then th... | Mathematics | TestHub
- If the value ofis equal to, thenis equal t... | Mathematics | TestHub
- is equal to | Mathematics | TestHub
- is equal to | Mathematics | TestHub
- is equal to | Mathematics | TestHub
- If and are the roots of the quadratic equa... | Mathematics | TestHub
- If , then is equal to ______ | Mathematics | TestHub
- If , then is equal to ________ | Mathematics | TestHub
- Let m be a positive integer. If \lim _{x \... | Mathematics | TestHub
1¥ based(1)
Algebraic and Rational Limits(45)
- If , then is | Mathematics | TestHub
- Let and . Then is given by | Mathematics | TestHub
- is | Mathematics | TestHub
- Practice Question | Mathematics | TestHub
- Let and their th derivatives exist and are... | Mathematics | TestHub
- Let and be the distinct roots of , then is... | Mathematics | TestHub
- equals | Mathematics | TestHub
- The value of is | Mathematics | TestHub
- Let and be the roots of the equation where... | Mathematics | TestHub
- If , then is | Mathematics | TestHub
- If , then | Mathematics | TestHub
- Let m and n be two positive integers great... | Mathematics | TestHub
- Ifis a differentiable function in the inte... | Mathematics | TestHub
- is equal to | Mathematics | TestHub
- Letandbe twice differentiable functions su... | Mathematics | TestHub
- is equal to | Mathematics | TestHub
- The value of | Mathematics | TestHub
- If, thenis | Mathematics | TestHub
- Ifthenis equal to: | Mathematics | TestHub
- Ifthen the value ofis equal to.... | Mathematics | TestHub
- is equal to: | Mathematics | TestHub
- is equal to | Mathematics | TestHub
- Let. Then the natural numberfor whichis __... | Mathematics | TestHub
- is equal to : | Mathematics | TestHub
- If , then the ordered pair is: | Mathematics | TestHub
- Letbe a differentiable function atwithand.... | Mathematics | TestHub
- Letbe a function such thatandThen, the val... | Mathematics | TestHub
- Ifthenis equal to | Mathematics | TestHub
- The value ofis equal to: | Mathematics | TestHub
- Letbe a polynomial function such that. The... | Mathematics | TestHub
- The value of is | Mathematics | TestHub
- Letbe the function defined asifwhere. Letb... | Mathematics | TestHub
- Let the function be defined by Define . Le... | Mathematics | TestHub
- is equal to | Mathematics | TestHub
- Ifand, then the value ofis : | Mathematics | TestHub
- Let be a continuously differentiable funct... | Mathematics | TestHub
- Let be a differentiable function in the in... | Mathematics | TestHub
- If , where , then is equal to______ | Mathematics | TestHub
- Let be a root of the equation . If , where... | Mathematics | TestHub
- For , if , then is equal to: | Mathematics | TestHub
- If , then the value of equals : | Mathematics | TestHub
- is: | Mathematics | TestHub
- Let be the real number such that . For a g... | Mathematics | TestHub
- Let and be the real numbers such that . Th... | Mathematics | TestHub
- Letbe strictly increasing function such th... | Mathematics | TestHub
Exponential and logarithmic limits(15)
- Practice Question | Mathematics | TestHub
- If , the value of is | Mathematics | TestHub
- If , then the values of and , are | Mathematics | TestHub
- For is | Mathematics | TestHub
- The function given by can be made continuo... | Mathematics | TestHub
- The largest value of the non - negative in... | Mathematics | TestHub
- equals | Mathematics | TestHub
- Practice Question | Mathematics | TestHub
- Ifexists and is equal to, then the value o... | Mathematics | TestHub
- Letbe a positive real number. Letandbe the... | Mathematics | TestHub
- If, then the value ofis | Mathematics | TestHub
- is equal to | Mathematics | TestHub
- Let . Then is equal to | Mathematics | TestHub
- Given below are two statements :Statement... | Mathematics | TestHub
- is equal to : | Mathematics | TestHub
General ( Limit existence)(35)
- denotes greatest integer less than or equa... | Mathematics | TestHub
- Letthen | Mathematics | TestHub
- For eachletbe the greatest integer less th... | Mathematics | TestHub
- For each, letbe the greatest integer less... | Mathematics | TestHub
- Ifwheredenotes the greatest integer functi... | Mathematics | TestHub
- Letbe a function. We say thathas: PROPERTY... | Mathematics | TestHub
- Letdenote the greatest integer. If, thenis... | Mathematics | TestHub
- Letfor some. Then the value ofis: | Mathematics | TestHub
- Letdenote the greatest integeranddenote th... | Mathematics | TestHub
- Letbe a function defined as, whereis the g... | Mathematics | TestHub
- Letbe an integer such thatexists, whereis... | Mathematics | TestHub
- The set of values offor which, where,denot... | Mathematics | TestHub
- Let. If for some, thenwheredenotes the gre... | Mathematics | TestHub
- Letdenote the fractional part ofand. Ifres... | Mathematics | TestHub
- Given below are two statements :Statement... | Mathematics | TestHub
- is equal to : | Mathematics | TestHub
- is equal to | Mathematics | TestHub
- is equal to | Mathematics | TestHub
- \lim_{x\rightarrow0}\frac{\sin[\cos x]}{1+... | Mathematics | TestHub
- If \alpha is a root of the equation \sin x... | Mathematics | TestHub
- \lim _{x \rightarrow \infty}\left(x-\log _... | Mathematics | TestHub
- If such that and , then . | Mathematics | TestHub
- If a_{1} is the greatest value of f(x) whe... | Mathematics | TestHub
- \lim _{x \rightarrow \infty} \sqrt[3]{x}\l... | Mathematics | TestHub
- The value of \lim _{x \rightarrow \frac{\p... | Mathematics | TestHub
- \underset{x \rightarrow \infty}{\operatorn... | Mathematics | TestHub
- \lim _{x \rightarrow \frac{\pi}{2}}\left[\... | Mathematics | TestHub
- The possible value(s) of k for which \oper... | Mathematics | TestHub
- If \lim _{x \rightarrow-a} \frac{x^{7}+a^{... | Mathematics | TestHub
- If f(x)=x\left(\frac{e^{|x|+[x]}-2}{|x|+[x... | Mathematics | TestHub
- If \mathrm{f}(\mathrm{x})=\lim _{\mathrm{p... | Mathematics | TestHub
- \underset{x \rightarrow \infty}{\operatorn... | Mathematics | TestHub
- \quad \lim _{x \rightarrow 0}\left[\frac{\... | Mathematics | TestHub
- \lim _{x \rightarrow \frac{-1}{3}-x} \frac... | Mathematics | TestHub
- If \operatorname{Lim}_{x\rightarrow\infty}... | Mathematics | TestHub
Miscellaneous/Mixed(42)
- is | Mathematics | TestHub
- Paragraph:Read the following passage and a... | Mathematics | TestHub
- Let be differentiable on the interval such... | Mathematics | TestHub
- Let , . If is finite, then | Mathematics | TestHub
- Let be a positive increasing function with... | Mathematics | TestHub
- Letbe a continuous odd function, which van... | Mathematics | TestHub
- Let, for all. Then | Mathematics | TestHub
- For each positive integer, let. Ifthen the... | Mathematics | TestHub
- ForletThen the possible value(s) ofis/are: | Mathematics | TestHub
- Letdenote the base of the natural logarith... | Mathematics | TestHub
- If, thenis equal to ________. | Mathematics | TestHub
- Ifis equal tothen the value ofis | Mathematics | TestHub
- The value ofwhereis non-zero real number a... | Mathematics | TestHub
- Ifare the distinct roots ofthenis equal to | Mathematics | TestHub
- If, then the value ofis __________. | Mathematics | TestHub
- If, where, then which of the following is... | Mathematics | TestHub
- If, thenis equal to | Mathematics | TestHub
- Practice Question | Mathematics | TestHub
- is equal to | Mathematics | TestHub
- is equal to : | Mathematics | TestHub
- is equal to | Mathematics | TestHub
- Let the slope of the linebefor some. Theni... | Mathematics | TestHub
- Let be , using only the principal values o... | Mathematics | TestHub
- If, thenis equal to ______. | Mathematics | TestHub
- If, thenis equal to : | Mathematics | TestHub
- Let be a differentiable function such that... | Mathematics | TestHub
- Practice Question | Mathematics | TestHub
- Let . Then, is equal to | Mathematics | TestHub
- Letbe the sum of all coefficients in the e... | Mathematics | TestHub
- Letbe a differentiable function such that,... | Mathematics | TestHub
- If , where , then is equal to | Mathematics | TestHub
- If is finite, then is equal to : | Mathematics | TestHub
- Let [t] be the greatest integer less than... | Mathematics | TestHub
- Let f: R^{+} \rightarrow R^{+} be a functi... | Mathematics | TestHub
- Let (\tan \alpha) x+(\sin \alpha) y=\alpha... | Mathematics | TestHub
- Let \mathrm{f}(\mathrm{x})=\frac{\tan \mat... | Mathematics | TestHub
- If a_{n} and b_{n} are positive integers a... | Mathematics | TestHub
- \lim _{n \rightarrow \infty} \sum_{r=1}^{n... | Mathematics | TestHub
- For each positive integer n , let s_{n}=\f... | Mathematics | TestHub
- The integer ' n ' for which \operatorname{... | Mathematics | TestHub
- Let x_{1}=1 and x_{n+1}=\frac{4+3 x_{n}}{3... | Mathematics | TestHub
- If S_{n}=\frac{1}{1 \cdot 2 \cdot 3 \cdot... | Mathematics | TestHub
Standard Limits (All types)(14)
- Let f(x)=\operatorname{\mathop{\lim}\limit... | Mathematics | TestHub
- \lim _{x \rightarrow 0}\left(\frac{1+2 x}{... | Mathematics | TestHub
- \operatorname{Lt}_{n \rightarrow \infty}\l... | Mathematics | TestHub
- \lim _{x \rightarrow \infty}\left(\frac{x^... | Mathematics | TestHub
- \lim _{x \rightarrow \frac{\pi}{2}} \frac{... | Mathematics | TestHub
- If a>0, b>0 then \lim _{n \rightarrow \inf... | Mathematics | TestHub
- \quad \lim _{x \rightarrow 0} \frac{a^{\ta... | Mathematics | TestHub
- \operatorname{Lt}_{x \rightarrow 0}\left(\... | Mathematics | TestHub
- Let f(x)=x^{3}\left\{\sqrt{x^{2}+\sqrt{x^{... | Mathematics | TestHub
- If f(0)=0 and that ' f ' is differentiable... | Mathematics | TestHub
- The value of \lim _{x \rightarrow \infty}\... | Mathematics | TestHub
- The value of \lim _{x \rightarrow 0} \frac... | Mathematics | TestHub
- Let . Then is equal to | Mathematics | TestHub
- For p, n \in N , let f(x)=1-x^{p} and g_{n... | Mathematics | TestHub
Trigonometric and Inverse Trigonometric limits(47)
- Practice Question | Mathematics | TestHub
- is | Mathematics | TestHub
- Let . If is continuous in , then is | Mathematics | TestHub
- equals | Mathematics | TestHub
- Practice Question | Mathematics | TestHub
- equals | Mathematics | TestHub
- Practice Question | Mathematics | TestHub
- The value ofis equal to | Mathematics | TestHub
- The value of is : | Mathematics | TestHub
- Ifis continuous andthenequals to | Mathematics | TestHub
- If , then is equal to: | Mathematics | TestHub
- is equal to | Mathematics | TestHub
- Practice Question | Mathematics | TestHub
- is equal to | Mathematics | TestHub
- is | Mathematics | TestHub
- Letbe such thatThenequals | Mathematics | TestHub
- equals | Mathematics | TestHub
- equals. | Mathematics | TestHub
- is | Mathematics | TestHub
- For eachletbe the greatest integer less th... | Mathematics | TestHub
- Let denote the greatest integer less than... | Mathematics | TestHub
- is equal to | Mathematics | TestHub
- is equal to: | Mathematics | TestHub
- equals | Mathematics | TestHub
- is | Mathematics | TestHub
- Ifis the positive root of the equation,, t... | Mathematics | TestHub
- The value of the limit is _________ | Mathematics | TestHub
- Ifthen the value of k is | Mathematics | TestHub
- The value ofis equal to : | Mathematics | TestHub
- The value of the limitis equal to : | Mathematics | TestHub
- The value ofwheredenotes the greatest inte... | Mathematics | TestHub
- The value of is : | Mathematics | TestHub
- is equal to : | Mathematics | TestHub
- is equal to | Mathematics | TestHub
- is equal to | Mathematics | TestHub
- is equal to | Mathematics | TestHub
- is equal to | Mathematics | TestHub
- If, then the value ofis equal to | Mathematics | TestHub
- Letandbe the real valued functions defined... | Mathematics | TestHub
- is equal to | Mathematics | TestHub
- Letbe a root of the equationand. Thenwhere... | Mathematics | TestHub
- Ifare the roots of the equation, and, then... | Mathematics | TestHub
- The value of is | Mathematics | TestHub
- Let . If , then the value of is | Mathematics | TestHub
- Let be the set of all such that . Then whi... | Mathematics | TestHub
- If the function is continuous at , then is... | Mathematics | TestHub
- If \lim _{x \rightarrow 0} \frac{a e^{x}-b... | Mathematics | TestHub
Value of unknown(5)
- If \{x\},[x] are fractional part function... | Mathematics | TestHub
- If \operatorname{Lt}_{x \rightarrow 0} \fr... | Mathematics | TestHub
- If \lim _{x \rightarrow 0} \frac{\log (1+x... | Mathematics | TestHub
- Given the recurrence relation , where and... | Mathematics | TestHub
- Consider L=\operatorname{\mathop{\lim}\lim... | Mathematics | TestHub
Practice Limits on TestHub
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