CODE IS IN PYTHON. THANK YOU IN ADVANCE!

1. Write a Python program to estimate the value of e according to the infinite series below:

Note: By definition, the value of 0! is one (1).

• Ask the user to input float a value of x from the keyboard -1
• If the input is not valid, print an error message to the user, perform no calculations, and end the program.
• If the input is valid, calculate an estimate of the value of to a tolerance of 1e-07. In other words, stop the summation process when the absolute value of the nth term is less than the tolerance.
  • Print the value of x to two (2) decimal place precision and print the estimate of to four (4) decimal place precision, each with proper labels.