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(a). Σ(+1)(z +1), |z +1] < 1, j=0 (b). sin® z = Σ(-1) (2j +1) 4 j=0 (c). ez 1. = - Show that = 1 + 2z+ 3(1-9³) 2j+1 + 8 3 |z < ∞, + ..., |z| < 1.

(a). Σ(+1)(z +1), |z +1] < 1, j=0 (b). sin® z = Σ(-1) (2j +1) 4 j=0 (c). ez 1. = - Show that = 1 + 2z+ 3(1-9³) 2j+1 + 8 3 |z < ∞, + ..., |z| < 1.

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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Show that (a). 2 = [(j+1)(z+1)³, \z+1| <1, j=0 (b). sin³ z =(-1)³ j=0 (c). e² 1-z = 1 + 2z+ = 3(1 - 9³) 4 (2j+1)! 5 2 813 3 z2j+1, /z<∞0, +..., 2 < 1.
Transcribed Image Text:Show that (a). 2 = [(j+1)(z+1)³, \z+1| <1, j=0 (b). sin³ z =(-1)³ j=0 (c). e² 1-z = 1 + 2z+ = 3(1 - 9³) 4 (2j+1)! 5 2 813 3 z2j+1, /z<∞0, +..., 2 < 1.
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