Question: Please answer in Python Question 4: The number e is an important mathematical constant that is the base of the natural logarithm. e also arises
Please answer in Python
Question 4: The number e is an important mathematical constant that is the base of the natural logarithm. e also arises in the study of compound interest, and in many other applications. Background of e : https://en.wikipedia.org/wiki/E (mathematical constant) e can be calculated as the sum of the infinite series: e=1+1!1+2!1+3!1+4!1+ The value of e is approximately equal to 2.71828. We can get an approximate value of e, by calculating only a partial sum of the infinite sum above (the more addends we add, the better approximation we get). Implement the function def e_approx (n). This function is given a positive integer n, and returns an approximation of e, calculated by the sum of the first (n+1) addends of the infinite sum above. To test your function, use the following main: defmain(): for n in range (15) : curr_approx = e approx (n) approx_str = "\{:. 15f }".format (curr_approx) print ("n n= ", n, "Approximation:", approx_str) Note: Pay attention to the running time of e_approx. By calculating the factorials over for each addend, your running time could get inefficient. An efficient implementation would run in (n)
Step by Step Solution
There are 3 Steps involved in it
Get step-by-step solutions from verified subject matter experts
