Math Problem Solver

To approximate the natural logarithm ln(1 + 𝓍), we can use the following formula:

ln(1 + 𝓍) = 𝓍 −

𝓍

2

2

𝓍

3

+

3

𝓍

4

- + ⋯

4

This series works for the values of 𝓍 where −1 < 𝓍 < 1.

Write a program that performsthe following:

- Ask the user to input 𝓍 and ensures −1 < 𝓍 < 1.

- Allow the user to specify a precision (e.g., 0.000001) or a maximum number of terms.

- Calculate the approximation,stopping when either:

• The change between the two steps is less than the precision, or

• The maximum number of terms is reached.

- Print each term, the running total, and the difference between the current and previous

totals.

- Provide a summary at the end, including:

• The final approximation of ln(1 + 𝓍),

• The exact value of ln(1 + 𝓍), using math.log.

• The number of terms used.

• The difference between your result and the exact value