1. Find the radius of convergence of:k1+2i(a) Σ(-1)* (¹ + ²i) * (z +2i)*.2k=0(b)(-1) kk2k (z − 1 - i)k.k=1(©) Σ (³ + (−1)*) * (²) *.k=0

1) (a) The given series is Suppose that Then, Then, the radius of convergence is (b) The…

Answered: 1. Find the radius of convergence of: k…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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1. Find the radius of convergence of: k (a) (−1)k (¹+2i) * (z +2i)*. k=0 k (b) Ỹ (−1)² (z − 1 − i)*. - k2k (e) Σ (3+(-1)*)* (²) *. k=0

1. Find the radius of convergence of: k (a) (−1)k (¹+2i) * (z +2i). k=0 k (b) Ỹ (−1)² (z − 1 − i). - k2k (e) Σ (3+(-1)) (²) *. k=0