While loop - series expansion

[StillAnotherDave]

Hello folks,

I've put together the following code for a series expansion for the function ln(1+x):

import numpy as np


x = float(input('Please input a number x between 0 and 1 '))
logx = np.log(x+1)
while x<=0 or x>=1:
    float(input('Please input a number between 0 and 1 '))
    
for n in range(1, 13):
    term1 = x
    term = ((-1)**(n+1))*(x**n)/n
    term1 += term
print('The sum of the Taylor expansion for ln(1+x) upto x^12 is: ', term1)

I'm stuck on the following task:

calculate and print out the value of ln(1 + x) calculated using the above series expansion using a while loop and including all terms whose magnitude are bigger than 10−8. Print out the sum to each number of terms.

Can anyone help explain how to do this?