(a) Use the fact that the Taylor series for sin(x) and cos(x) converge uniformly on any compact set to prove WAT under the added assumption that [a, b] is [0, π]. (b) Show how the case for an arbitrary interval [a, b] follows from this one.
(a) Use the fact that the Taylor series for sin(x) and cos(x) converge uniformly on any compact set to prove WAT under the added assumption that [a, b] is [0, π]. (b) Show how the case for an arbitrary interval [a, b] follows from this one.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 44E
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(a) Use the fact that the Taylor series for sin(x) and cos(x) converge uniformly on any compact set to prove WAT under the added assumption that [a, b] is [0, π]. (b) Show how the case for an arbitrary interval [a, b] follows from this one.
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