. Let ƒ : (0, 1) → R be uniformly continuous. Let (Tn) be a sequence in (0, 1). Suppose that lim, s0 In = 0. Prove that lim, o f(Tn) exists.

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.