part 2Course : Real Analysis QUESTION 6nx2 +5 for neN andLet fn(x) =4n +31. Show that (f.(x)) converges uniformly on [ - a,a] for any a >0.2. Show that (f„(x)) does not converge uniformly on R.

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Answered: nx2 + 5 fr X E R for Let f,(x) = NENand…

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nx2 + 5 fr X E R for Let f,(x) = NENand %D 4n +3

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter6: The Trigonometric Functions

Section6.4: Values Of The Trigonometric Functions

Problem 21E

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Question

part 2

Course : Real Analysis

QUESTION 6
nx2 +5 for neN and
Let fn(x) =
4n +3
1. Show that (f.(x)) converges uniformly on [ - a,a] for any a >0.
2. Show that (f„(x)) does not converge uniformly on R.

Branch of mathematical analysis that studies real numbers, sequences, and series of real numbers and real functions. The concepts of real analysis underpin calculus and its application to it. It also includes limits, convergence, continuity, and measure theory.

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