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Expand the given function in a Maclaurin series. f(z) = 1 6 - 2z

Expand the given function in a Maclaurin series. f(z) = 1 6 - 2z

Advanced Engineering Mathematics
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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Expand the given function in a Maclaurin series. f(z) 6 - 2z 2(()* k k = 0 X Give the radius of convergence R of the series. R = 3
Transcribed Image Text:Expand the given function in a Maclaurin series. f(z) 6 - 2z 2(()* k k = 0 X Give the radius of convergence R of the series. R = 3
We know that, tere, put - 21 1-W = 1 f(z) = 6-27 W= Z N/M 3 = flz) = 6 (1-3) 11 ANSWER 11 1+W+ W² + 11 in 0, & 1+ 3+ (3) ¹²+ (3)³+ (3) K ZK NÅR & WA From @ f(z) + (1-5) K= f(z) = 3K {(x) 2² (-). R= X 6-2Z 8 K=O 3 for = f(x) = Radious of Convergence_ R=3 for 1W/<1. Ⓡ 6 (六): for 12123 1Z1 <3 ✓ I 3 K ZK for 12143 k=0 =) zk fur 1121. fo Σ (SK) ZK for (Z1 <3) K=D fr 1213.
Transcribed Image Text:We know that, tere, put - 21 1-W = 1 f(z) = 6-27 W= Z N/M 3 = flz) = 6 (1-3) 11 ANSWER 11 1+W+ W² + 11 in 0, & 1+ 3+ (3) ¹²+ (3)³+ (3) K ZK NÅR & WA From @ f(z) + (1-5) K= f(z) = 3K {(x) 2² (-). R= X 6-2Z 8 K=O 3 for = f(x) = Radious of Convergence_ R=3 for 1W/<1. Ⓡ 6 (六): for 12123 1Z1 <3 ✓ I 3 K ZK for 12143 k=0 =) zk fur 1121. fo Σ (SK) ZK for (Z1 <3) K=D fr 1213.
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