Question: Homework Set 4 : Analysis 1, Let f : I -+ R, where I is an interval and i E I. Suppose Jim [f(x +

Homework Set 4 : Analysis 1, Let f : I -+ R, where I is an interval and i E I. Suppose Jim [f(x + h) - f(x - h)] =0. Does this mean f is continuous at x. Either prove or disprove by giving a counter example. 2, Let f : I - R, where I is an interval and a E I. Suppose lim [f(x + h) + f(x - h) - 2f(2)] =0

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