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Question 4: The number 9 is an important mathematical constant that is the base of the natural logarithm. e also arises in the study of

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Question 4: The number 9 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: hps: Z [en.wikipedia.org[wiki[E [mathematical constant) e can be calculated as the sum of the infinite series: 1 1 1 1 e=1+i+g+++'\" 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(currhapprox) print("n =", n, "Approximation:", approx_str) Note: Pay attentionto 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)

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