For the following function, find the full power series centered at x = = 0 and then give the first 5nonzero terms of the power series and the open interval of convergence.∞nf(x) = Σ| ±(−1)"(¥)">n=09f(x) =8+4x9xf(x) =9x²9x39x4+++163264128The open interval of convergence is: (-2,2) (Give your answer in interval notation.)

Step 1:We know that, 1+x1=∑n=0∞(−1)nxn=1−x+x2−x3+x4−...., which is convergent for ∣x∣<1. Step…

Answered: For the following function, find the…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.3: Geometric Sequences

Problem 49E

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