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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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