CampusX SDE Sheet | The natural logarithm can be approximated by the following series

The natural logarithm can be approximated by the following series

The natural logarithm can be approximated by the following series. If x is input through the keyboard, write a program to calculate the sum of the first seven terms of this series.

'''
The natural logarithm can be approximated by the following series.
If x is input through the keyboard, write a program to calculate the
sum of the first seven terms of this series.
'''
import math

x = float(input("Enter the value of x: "))

# Checking if x is positive and not equal to 1, as log(1) is 0 and log for negative numbers is undefined
if x > 0 and x != 1:
    # Calculating the first seven terms of the series
    ln_x_approx = (x - 1)/x - ((x - 1)/x)**2/2 + ((x - 1)/x)**3/3 - ((x - 1)/x)**4/4 + ((x - 1)/x)**5/5 - ((x - 1)/x)**6/6 + ((x - 1)/x)**7/7
    
    print(f"The approximation of ln({int(x)}) using first seven terms of series is {ln_x_approx}")
else:
    print("The value of x should be positive and not equal to one.")