Question: Suppose SR, such that (c, c+) S for some c R and > 0. Let f: S R be a function and A= (c, c+).

Suppose SR, such that (c, c+) S for some c R and > 0. Let f: S R be a function and A= (c, c+). Prove that if f|_A is continuous at c, then f is continuous at c.

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