JEE MATHEMATICS MCQ: LIMITS

1 Easy

1 of 1

Application +4 | -1

\lim\limits_{x \to 0} {\left( {\tan \left( {\frac{\pi }{4} + x} \right)} \right)^{1/x}}

is equal to

View answer and explanation

Correct option: D

{e^2}

Option D (

{e^2}

) is correct because the limit is of the form 1^infinity, and using the exponential limit formula, the answer is e².

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\lim \limits_{{x \rightarrow \infty}} x\left(e^{1 / x}-1\right)

f(x)=\frac{(x+1)^7 \sqrt{1+x^2}}{\left(x^2-x+1\right)^6}

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