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: ht s: en.wiki edia.or wiki E mathematical constant) e can be calculated as the sum of the inﬁnite series: _ 1 1 1 1
9‘1+E+Z+§+Z+ 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:
def main():
for n in range(15):
curr_approx = e_approx(n)
approx_str = "{:.15f}".format(curr_approx)
print ("n =" , n, "Approximation: " , approx_str) N gte: 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).