The following common Taylor series are provided for reference. xn n! ez n=0 sin(x) = 22n+1 (2n + 1)! x²n cos(x) = (-1)". = 1 (2n)! n=0 8 = 1+x+ (-1)" n=0 O ln(√2) O sin(√2) 01+e-√² O cos(2) 22 2! 11 1 + X x3 +.... |x|<∞ x3 x5 x7 + 3! 5! 7! 2! 3! + x 4! 26 6! Use these series to find the exact value of 2-√2+ +.... +.... 2 2! mial- 3 22 3! x<∞ |x <∞o + ²/ T ... 4
The following common Taylor series are provided for reference. xn n! ez n=0 sin(x) = 22n+1 (2n + 1)! x²n cos(x) = (-1)". = 1 (2n)! n=0 8 = 1+x+ (-1)" n=0 O ln(√2) O sin(√2) 01+e-√² O cos(2) 22 2! 11 1 + X x3 +.... |x|<∞ x3 x5 x7 + 3! 5! 7! 2! 3! + x 4! 26 6! Use these series to find the exact value of 2-√2+ +.... +.... 2 2! mial- 3 22 3! x<∞ |x <∞o + ²/ T ... 4
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1069a960-ab44-4829-baef-0330e3e99a25%2F4b50e1d3-2a1a-4e06-a5c8-479729ec0a34%2Fba6hxpp_processed.jpeg&w=3840&q=75)
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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