$\mathop {\lim }\limits_{x \to 1} \frac{{{x^m} - 1}}{{{x^n} - 1}}$ is equal to

JEE MATHEMATICS MCQ: LIMITS

1 Easy

1 of 1

Application +4 | -1

\lim\limits_{x \to 1} \frac{{{x^m} - 1}}{{{x^n} - 1}}

is equal to

View answer and explanation

Correct option: B

\frac{m}{n}

Option B (

\frac{m}{n}

) is correct because by applying L'Hopital's rule, the limit evaluates to m/n.

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