Question

Problem Three: (Based on Attaway, Chapter 5, Exercise 20) The inverse of the mathematical constant e can be approximated as follows: a c 7n Write a script that will loop through values of n (starting at n 2) until the difference between the approximation and the actual value is less than 0.0001 The soript should the print the value of n required for such accuracy.

Answer 1

clc;
clear;

%%e0 (ACTUAL VALUE OF e)
e0=exp(1);

%%loop for calculation of 1/e=x

i=2;
while i>0
x=(1-1/i)^i;
e=1/x;
  
if abs(e0-e)<.0001
break;
end
i=i+1;
end

n_for_approx_e=i
e_calculated=1/x