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
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter9: Polynomial And Rational Functions
Section9.2: Remainder And Factor Theorems
Problem 51PS
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Transcribed Image Text: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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