The value of $\mathop {\lim }\limits_{x \to 0} \frac{{{a^x} - {b^x}}}{x}$, is

$\log \left( {\frac{b}{a}} \right)$

JEE MATHEMATICS MCQ: LIMITS

1 Easy

1 of 1

Application +4 | -1

The value of

\lim\limits_{x \to 0} \frac{{{a^x} - {b^x}}}{x}

, is

View answer and explanation

Correct option: A

\log \left( {\frac{a}{b}} \right)

Option A (

\log \left( {\frac{a}{b}} \right)

) is correct because it's a direct application of the limit definition of the derivative of an exponential function.

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