Problem 1 The following infinite series can be used to approximate e 6 .1 Write a program to approximate the value of cos x as follows: Using a loop you will add one more term to the approximation each iteration of the loop until your approximation is correct out to 5 significant figures. You may start off with your approximation equal to 1. Because we are starting off with the approximation equal to 1 this is our initial old value Requirements: x must be entered using the input command Output should be as follows: The approximate value of cos (entered value) is 8.### It took # iterations to converge, 1. 2