JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1

\operatorname{lt}_{x \rightarrow \infty}\left(\frac{x^n}{e^x}+\left(\cos \frac{1}{x}\right)^{x^2}\right)

is finite and is equal to

\mathrm{k}

, then which of the following is false ?

View answer and explanation

Correct option: C

k=\frac{1}{2}

Option C (

k=\frac{1}{2}

) is false because the limit evaluates to

e^{-\frac{1}{2}}

, thus

k = e^{-\frac{1}{2}}

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