Let f : (0. 1) → R be bounded but such that lim f does not exist. Show that there are two 1-0 sequences (x,) and (y,) in (0, 1) with lim(x,) = 0 = lim(y,), but such that lim (f (x,)) and lim (f(y,)) exist but are not equal.

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A: Explanation of the answer is as follows

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A: Solution of the problem as follows

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A: Here, the given function is: f(x)=x-2|x|-2 So, function is not defined at x=2,-2

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Q: -x e lim In(1+4e-x)

A: The answer is 1/4

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