3. Prove that the series 1 x2n n! 1 + x²n n=0 converges uniformly on R to a continuously differentiable function.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 65E
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3. Prove that the series
1
x2n
n! 1 + x²n
n=0
converges uniformly on R to a continuously differentiable function.
Transcribed Image Text:3. Prove that the series 1 x2n n! 1 + x²n n=0 converges uniformly on R to a continuously differentiable function.
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