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Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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
Transcribed Image Text:The following common Taylor series are provided for reference.
xn
n!
et
n=0
8
= 1+x+
sin(x) = (-1)".
-2
x²n+1
(2n + 1)!
x²n
(2n)!
n=0
8
cos(x)=(-1)".
n=0
O ln (√2)
O sin(√2)
01+e-√2
O cos(2)
x
2!
1
+
x3
3!
X-
+....
x3
x5
+
3! 5!
x
+
2! 4!
|xc| <∞
x7
7!
x6
6!
Use these series to find the exact value of 2 -√√2+12/1
+
+....
3
IN
22
=N/1
3!
x < x
|x| <∞
2²
+ 2/12 - ...
W
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- The Fourier series of the function is given by where Co = C₂ and b₂ f(x) ~ -Σ ~CO- n=0 [-7x if =arrow_forwardGiven the following graph of f(x) which starts at x = -. Find the Fourier series of the function f (x), OC OE OD A. f(x) = cos x + sinx-sin 2x-cos 3x + sin 3x -... cos 3x + B. f(x)=+cosx- sin x + sin 2x - C. f(x) = cos z + sinx-sin 2x - D. 0 sin 3x sin 3x cos 3x + E. None OB - TT OA TU 1 0 TU 2 [9] 2 9r 141 411arrow_forwardThe Fourier sine series of the function is given by where b₂ f(x) = = (3x if 0arrow_forward
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