Here is the question.. A mathematics student has determined that the following a
ID: 1862733 • Letter: H
Question
Here is the question..
A mathematics student has determined that the following alternating series of terms summed to infinity produces the numerical value of In (2) 1-1/2+1/3-1/4+1/5-1/6+.... Use the approach we discussed in class to develop a MATLAB script for generating an algorithm an estimation of ln(2), and compares it to the 'exact' value of ln(2) computed with MATLAB's built-in function. Submit your script. Comment on the convergence rate About how many terms do you need to compute In (2) to within an absolute error (tolerance) of 0.005?Explanation / Answer
a)
clear all
clc
format long
n=56;
x=2;
fex=1;
for i=2:n
fex=fex+(-1)^(i-1)/i;
end
fex
b) the soloution is not convergent , it keeps on oscillating about a value but the amount of oscillation goes on decreasing
c) About 101 terms
Here is a code to estimate that
clear all
clc
format long
error=0.01;
n=10;
while(error > 0.005)
x=2;
fex=1;
for i=2:n
fex=fex+(-1)^(i-1)/i;
end
error=abs(fex - log(2));
n=n+1
end
fex
n