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MCQ

$\mathop {\lim }\limits_{x \to 0} \,\,\cos \frac{1}{x}$

A
Is continuous at $x = 0$
B
Is differentiable at $(3,\,\,1)$
✓
Does not exist
D
None of these

✓

Answer

Correct option: C.

Does not exist

c
(c) $\mathop {\lim }\limits_{x \to 0} \,\cos \frac{1}{x}$ oscillates between $ - 1$ and $1.$

$\therefore$ Limit doesn’t exist.

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