In python please

1 1 4. The value of is equal to the following infinite series: 1 3157 + (a) While we cannot compute the entire infinite series, we can get an approx- imation to the value by using the first n terms. Allow the user to input n. Name you program piSeries.py Experiment with n=10, 100, 1000, 10000. 11 (b) As you can see, the value gets closer to the actual value of as the number of terms increases. Make a copy of the program you made fro the exercise above and save it as piTolerance.py. Modify the program so that you keep adding terms such that the computation with n terms and the com- putation with n +1 differs by less than 10e - 5 (1 part in 10000). Your program should print out the estimate of T and the number of terms used to obtain the value