Question: 8. Let f be a continuous real function on R such that f'(x) exists for all x / 0. Assume that lim f'(x) exists. Does

8. Let f be a continuous real function on R such that f'(x) exists for all x / 0. Assume that lim f'(x) exists. Does it follow that f'(0) exists? Justify. r+0

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