JEE MATHEMATICS MCQ: LIMITS

1 Easy

1 of 1

Analyzing +4 | -1

For

x > 0, \lim \limits_{{x \rightarrow 0}}\left\{(\sin x)^{1 / x}+\left(\frac{1}{x}\right)^{\sin x}\right\}

, is

View answer and explanation

Correct option: C

Option C (1) is correct because as x approaches 0,

(\sin x)^{1/x}

approaches 0 and

(1/x)^{\sin x}

approaches 1, so the sum approaches 1.

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