Mathematics - Continuity - Differentiability Question with Solution | TestHub

MathematicsContinuity - DifferentiabilityContinuity- MiscellaneousMedium2 minQB

MathematicsMediummultiple choice

Which of the following function(s) has/have removable discontinuity at $x = 1$ .

Answer:

B, D

Solution:

(A) $lim_{x \to 1} f (x)$ does not exist

(B) $lim_{x \to 1} f (x) = 3$ . Therefore, $f (x)$ has a removable discontinuity at $x = 1$ .

(D) $lim_{x \to 1^{-}} f (x) = \frac{1}{2}$ . Therefore, $f (x)$ has a removable discontinuity at $x = 1$ .

Stream:JEESubject:MathematicsTopic:Continuity - DifferentiabilitySubtopic:Continuity- Miscellaneous

⏱ 2mℹ️ Source: QB

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