I know that the limit defined in the question is actually just defined as f'(c) for some c. But this confuses me because if that limit exists, I believe f'(c) should also exist. Yet, how do we get these two to be different?
2026-05-14 05:00:29.1778734829
Find an example of a function f such that Lim(h->0) [f(c+h)-f(c-h)]/2h = L but f'(c)≠L?
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