A python problem and its solution.

Write a program to calculate and display the sum of the series:

 

1 - 1/2 + 1/3 - 1/4 + ...

 

until a term is reached that is less than 0.0001.

Here is the program:

def aa(n):

   a=0

   if n>0:

    for i in range(1,n,1):

        a=a+(-1)**(i-1)*(1/i)

   return(a)

e=0.01

n=1

while e>0.0001:

    e=abs(aa(n+1)-aa(n))

    n=n+1

    if e<0.0001:

        print(e,aa(n),n)

And it converged. Results: