The value of $\mathop {\lim }\limits_{x \to 0} \frac{{{5^x} - {5^{ - x}}}}{{2x}}$ is

JEE MATHEMATICS MCQ: LIMITS

1 Easy

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Application +4 | -1

The value of

\lim\limits_{x \to 0} \frac{{{5^x} - {5^{ - x}}}}{{2x}}

View answer and explanation

Correct option: A

\log 5

Option A (

\log 5

) is correct because the limit can be evaluated using L'Hopital's rule or by recognizing the derivative of an exponential function.

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