The value of $\mathop {\lim }\limits_{x \to 0} \frac{{{e^{ax}} - {e^{bx}}}}{x}$ is equal to

JEE MATHEMATICS MCQ: LIMITS

1 Easy

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Application +4 | -1

The value of

\lim\limits_{x \to 0} \frac{{{e^{ax}} - {e^{bx}}}}{x}

is equal to

View answer and explanation

Correct option: B

a - b

Option B (

a - b

) is correct because it is the result of applying L'Hopital's rule or using series expansion to evaluate the limit.

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