Question

lim cos 1/x
x tend to 0 is ?
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Answer 1

Answer:

Limit does not exist, so indeterminate

Step-by-step explanation:

$\lim_{x\to0} cos\frac{1}{x}$ = indeterminate

If we take a look at  $\lim_{x\to0} \frac{1}{x}$ we get - infinity and + infinity  so the Limit does not exist since its a two sided limit

we know cos(x) ranges between - 1 and 1.

The problem is x can be from -1 to +1 so we don't know the value this is why its  indeterminate.

Hope that made sense this concept can be tricky.