limits

lim \left|x \right| \left[cos x \right] =?
x\rightarrow0

2 Answers

i think doesnt exist......

As x->0+0,
|x|->0, cosx -> 1-0; so [cosx]-> 0

As x->0-0,
|x|->0, cosx -> 1-0; so [cosx]-> 0

so, limit exists and is equal to zero.

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