$\mathop {\lim }\limits_{x \to 0} \frac{{{e^{5x}} - {e^{4x}}}}{x}$ is equal to

JEE MATHEMATICS MCQ: LIMITS

1 Easy

1 of 1

Application +4 | -1

\lim\limits_{x \to 0} \frac{{{e^{5x}} - {e^{4x}}}}{x}

is equal to

View answer and explanation

Correct option: A

Option A (1) is correct because by using the series expansion of e^x or L'Hopital's rule, the limit evaluates to 1.

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