answer it correctly please thanks Let (fn) be a sequence of bounded real-valued functions on X.(a) If fn⇒ f on X, show that f is bounded on X.(b) If (fn)1 converges pointwise to a bounded function f onX, must the convergence be uniform? Justify.Note: The function h: X→→ R is bounded if and only if thereexists M >0 such that h(x)| ≤ M for all x € X.

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Answered: Let (fn)1 be a sequence of bounded…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.1: Infinite Sequences And Summation Notation

Problem 72E

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