3. Write a C program to numerically compute the following series: 1 1 1 1 + 3 5 7 9 As series is known to be convergent to π/4, approximate 7 using the program. Hint: Start with the geometric series of 1 1 + x² integrate both sides to get: Substitute x = 1to get TT 1- + + = 1-x² + x¹ - x6 +x8..., arctan x=x- + x3 x5 x7 = 3 5 + 7 9 1 1 1 1−3+5−7+9 x9 1

Computer Networking: A Top-Down Approach (7th Edition)
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ISBN:9780133594140
Author:James Kurose, Keith Ross
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Chapter1: Computer Networks And The Internet
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3. Write a C program to numerically compute the following series:
1 1 1 1
1- +== +
3 5 7 9
As series is known to be convergent to π/4, approximate 7 using the program.
Hint: Start with the geometric series of
1
1 + x²
integrate both sides to get:
Substitute x = 1to get
arctan x =x-
IT
= 1- x² + x4 - x6 + x³ - ...,
4
= 1
x3
م ال
3
3
+
1 1 1
x5
5
+
|
7
x7 x9
+
7 9
+
1
9
Transcribed Image Text:3. Write a C program to numerically compute the following series: 1 1 1 1 1- +== + 3 5 7 9 As series is known to be convergent to π/4, approximate 7 using the program. Hint: Start with the geometric series of 1 1 + x² integrate both sides to get: Substitute x = 1to get arctan x =x- IT = 1- x² + x4 - x6 + x³ - ..., 4 = 1 x3 م ال 3 3 + 1 1 1 x5 5 + | 7 x7 x9 + 7 9 + 1 9
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