Obtain the Taylor series ez = e Σ [(z - 1)^n / n!] (|z - 1| < ∞) for the function f(z) = ez by using f(n)(1) (n = 0, 1, 2, ...).
Obtain the Taylor series ez = e Σ [(z - 1)^n / n!] (|z - 1| < ∞) for the function f(z) = ez by using f(n)(1) (n = 0, 1, 2, ...).
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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Obtain the Taylor series
ez = e Σ [(z - 1)^n / n!] (|z - 1| < ∞)
for the function f(z) = ez
by using f(n)(1) (n = 0, 1, 2, ...).
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