1. Let f : (0,1) → R be uniformly continuous. Let (xn) be a sequence in (0, 1). Supposethat lim,, 0 Tn = 0. Prove that lim,>∞ f (Tn) exists.

Name: 1. Let f : (0,1) → R be uniformly continuous. Let (xn) be a sequence
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Description: 1. Let f : (0,1) → R be uniformly continuous. Let (xn) be a sequence in (0, 1). Supposethat lim,, 0 Tn = 0. Prove that lim,>∞ f (Tn) exists.

Given that f:(0,1) →ℝ be uniformly continuous function. And (xn)∞n=1 be a series in (0,1) such…

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. 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.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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