Which of the following is a power series representation of the function F(x) = O O O 5 n=0 L~"(-7) – n=0 n=0 "[(-1)" - (0)"] n=0 n=0 - (-2)"] 3 [ª"(-³)ª − (1)”] x"[(-)" − (0)"] ¹)-(2) -7x -? (4-4x) (3x + 4)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Which of the following is a power series representation of the function F(x):
O
O
0
1/2"[(-)" - (0)"]
x²
54
∞
ܗ | ܠ
n=0
M8
n=0
∞
n=0
7
"(-4)-(-2)
¼ ~"((− ³ ) ² − (1)”]
n=0
x¹[(— 7)" — (0)"]
x" [(-)" — (2)"]
=
- 7x
(4 − 4x) (3x + 4)
Transcribed Image Text:Which of the following is a power series representation of the function F(x): O O 0 1/2"[(-)" - (0)"] x² 54 ∞ ܗ | ܠ n=0 M8 n=0 ∞ n=0 7 "(-4)-(-2) ¼ ~"((− ³ ) ² − (1)”] n=0 x¹[(— 7)" — (0)"] x" [(-)" — (2)"] = - 7x (4 − 4x) (3x + 4)
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