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1 import numpy as np
2
3 N=10OO
4
5 sgn=l
6 x=0.0
7 for j in range(N):
x=x+sgn/(2*j+l) sgn=-sgn
10
11 sgn=-(-l)**N
12 y=0.O
13 for j in range(N,0,-1)
14 y=y+sgn/(2*j-1)
15 sgn=-sgn
16
17 print(np.pi)
18 print(4*x)
19 print(4»v)_
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N=15
xl=np.zeros(N) x2=np.zeros(N)
sgn=l
for j in range(N): k=2*j+l '
xl[j]=sgn*(l/5.0)**k/k
x2[j]=sgn*(l/239.e)**k/k
sgn=-sgn
for j in ranged,N+l):
print("%2d %.15f % ( j, 4*
printC    %.15f'%np.pi)
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