Find the Taylor series and interval of convergence, centered at c=3, for the function f(x)=1/1-x^2          ∞ f(x) = ∑         n=0

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 and interval of convergence, centered at c=3, for the function f(x)=1/1-x^2

         ∞

f(x) = ∑

        n=0

 

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