JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1

\lim _{x \rightarrow-1} \frac{1+\sqrt[n]{x}}{1+\sqrt[m]{x}}

(m,n are odd positive integers) is

View answer and explanation

Correct option: A

\frac{m}{n}

Option A (

\frac{m}{n}

) is correct because by substituting

x = z^{mn}

, the limit is transformed and evaluated using the formula for the limit of

\frac{x^n - a^n}{x-a}

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