Let f be a function with the following Taylor series.f(z) = Ln=0(z + 3i)3n.(3n)!If k is a non-negative integer then f((-3i)2if k = 3n(3n)!0.if k = 3n + 1 or k = 3n + 2O is equal to 2O is equal to the aboveif k 3nlo ifk 3n +1 or k 3n + 2

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Let f be a function with the following Taylor series. f(z) = Ln=0 (z + 3i)3n. (3n)! If k is a non-negative integer then f((-3i) 2 (3n)! 0. if k 3n if k 3n +1 or k = 3n + 2 O is equal to 2 O is equal to the above if k 3n 1o ifk 3n +1 or k = 3n + 2

Let f be a function with the following Taylor series. f(z) = Ln=0 (z + 3i)3n. (3n)! If k is a non-negative integer then f((-3i) 2 (3n)! 0. if k 3n if k 3n +1 or k = 3n + 2 O is equal to 2 O is equal to the above if k 3n 1o ifk 3n +1 or k = 3n + 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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Question

Let f be a function with the following Taylor series.
f(z) = Ln=0
(z + 3i)3n.
(3n)!
If k is a non-negative integer then f((-3i)
2
if k = 3n
(3n)!
0.
if k = 3n + 1 or k = 3n + 2
O is equal to 2
O is equal to the above
if k 3n
lo ifk 3n +1 or k 3n + 2

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