If Lt x → 0 x 2 (( a − n ) nx − t a n x ) s i n nx = 0 where n is a non zero real number then a is equal to

Lt x → 0 ( ( a − n ) n − x t a n x ) x s i n nx = 0 ⇒ (( a − n ) n − 1 ) n = 0 ⇒ a = n + n 1

Mathematics - Limits Question with Solution | TestHub

MathematicsLimitsValue of unknownMedium2 minQB

MathematicsMediumsingle choice

If $Lt_{x \to 0} \frac{(( a - n ) nx - t a n x ) s i n nx}{x ^{2}} = 0$ where n is a non zero real number then a is equal to

Answer:

Solution:

$Lt_{x \to 0} ((a - n) n - \frac{t a n x}{x}) \frac{s i n nx}{x} = 0$ $\Rightarrow ((a - n) n - 1) n = 0$ $\Rightarrow a = n + \frac{1}{n}$

Stream:JEESubject:MathematicsTopic:LimitsSubtopic:Value of unknown

⏱ 2mℹ️ Source: QB

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