a) Write down the Taylor series in powers of z for 1 f(2) = 1- 2iz b) Use the above series to find the Taylor series in powers of z for 1 g(2) = (1 – 2iz)3 State the disc of convergence of this series.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
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(a) Write down the Taylor series in powers of z for
1
f(2)
1- 2iz
(b) Use the above series to find the Taylor series in powers of z for
1
g(2) =
(1 – 2i2)3
State the disc of convergence of this series.
Transcribed Image Text:(a) Write down the Taylor series in powers of z for 1 f(2) 1- 2iz (b) Use the above series to find the Taylor series in powers of z for 1 g(2) = (1 – 2i2)3 State the disc of convergence of this series.
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