Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series expansion. Do not show that R(x) → 0.] f(x)=sin(x), a = π f(x) = n=0 Find the associated radius of convergence R.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter8: Further Techniques And Applications Of Integration
Section8.4: Improper Integrals
Problem 13E
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Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series expansion. Do not show that R₁(x) → 0.]
f(x) = sin(x), a = π
f(x) =
co
Σ
n = 0
Find the associated radius of convergence R.
R =
Transcribed Image Text:Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series expansion. Do not show that R₁(x) → 0.] f(x) = sin(x), a = π f(x) = co Σ n = 0 Find the associated radius of convergence R. R =
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,