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(b) Another series expression for T, less well-known and discovered by Nikalantha (around 1500), is 4 4 4 4 2 × 3 × 4 4x5x6 6×7×8 8 × 9 × 10 π=3+ =3+ 4(−1)i+1 2i (2i + 1)(2i + 2) + +... Write a function pi_nik(n) which takes as an input an integer n and returns an approximation of T, b evaluating this formula with n terms. (For n=3 your function should return 3.1333333....)

(b) Another series expression for T, less well-known and discovered by Nikalantha (around 1500), is 4 4 4 4 2 × 3 × 4 4x5x6 6×7×8 8 × 9 × 10 π=3+ =3+ 4(−1)i+1 2i (2i + 1)(2i + 2) + +... Write a function pi_nik(n) which takes as an input an integer n and returns an approximation of T, b evaluating this formula with n terms. (For n=3 your function should return 3.1333333....)

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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(b) Another series expression for π, less well-known and discovered by Nikalantha (around 1500), is 4 4 4 4 + 2 × 3 × 4 4 × 5 × 6 6×7×8 8 × 9 × 10 T=3 + = 3 + 4(−1)²+¹ 2i (2i + 1)(2i + 2) +... Write a function pi_nik(n) which takes as an input an integer n and returns an approximation of , b evaluating this formula with n terms. (For n=3 your function should return 3.1333333....)
Transcribed Image Text:(b) Another series expression for π, less well-known and discovered by Nikalantha (around 1500), is 4 4 4 4 + 2 × 3 × 4 4 × 5 × 6 6×7×8 8 × 9 × 10 T=3 + = 3 + 4(−1)²+¹ 2i (2i + 1)(2i + 2) +... Write a function pi_nik(n) which takes as an input an integer n and returns an approximation of , b evaluating this formula with n terms. (For n=3 your function should return 3.1333333....)
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