$\lim\limits_{x \rightarrow 0} e^{1 / x}

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Continuity and Differentiability

Question:

$\lim\limits_{x \rightarrow 0} e^{1 / x}$ equals

Options:

does not exist

infinity

Correct Answer:

does not exist

Explanation:

$\lim\limits_{x \rightarrow 0^{+}} e^{\frac{1}{x}}=\infty, \lim\limits_{x \rightarrow 0^{-}} e^{\frac{1}{x}}=0$

Hence (1) is the correct answer.