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## Homework Statement

The function cos(x) can be approximated using the following series expansion:

Write a MATLAB function called seriesCos that takes a single scalar argument, x, uses the above formula to compute cos(x), and returns the result. Your function should use a while loop and continue adding terms to the series until the absolute value of the difference between successive iterations is less than 1.e-6. MATLAB functions that may prove useful include factorial() and abs().

## Homework Equations

i can't get it to work and i'm not sure what I am doing wrong.It's not going through the loop or anything

## The Attempt at a Solution

function y=seriesCos(x);

%calculate cos(x) through a series

%user call seriesCos(x,n)

%x is number to evaluate n is desire cycles through series

x=input ('Enter x to be evalute: ');

ser=1;

sum=0;

n=1;

er=0.0;

while er>=1e-6

an=(-1)^n*x^(2*n)/(factorial(2*n));

sum=ser;

ser=sum+an;

n=n+1;

er=abs((ser-sum)/(ser));

end

disp (ser)

disp (er)