JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1

a, b

and

c

are real numbers, then the value of

\lim \limits_{{t \rightarrow 0}} \ln \left(\frac{1}{t} \int_0^t(1+a \sin b x)^{c / x} d x\right)

equals

View answer and explanation

Correct option: A

a b c

Option A (

a b c

) is correct because the limit is evaluated using L'Hopital's rule and the exponential limit definition.

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