- #1

sandbanana

- 8

- 0

## Homework Statement

Plot e^x for -10 to 10 using a Taylor series about 0

find the error between the nth term and the actual value of e^-10 and e^10

plot sin(4*theta) using a 2 term expansion, a 4 term expansion and a 10 term expansion and constrast it with the plot of sin(4*theta)

## The Attempt at a Solution

This is the first time I have ever opened MatLab and tried to do any sort of math programming. I suppose I need help in the logic of it or trying to trace what I am doing.

So far I have:

Code:

```
%This will compute the Taylor Series expansion of e^x for a user defined
%x value for the number of terms required by the user. It will do this about the point
%a=0. The result of the
%nth term will be compared to the computer generated value of e^xx = input ('Enter a value for x:'); % user input of which value to use for x
i = input ('Enter the non-zero number of terms for this Taylor Series expansion:'); %user input of number of terms to use
% g_n: the nth term in Taylor Series
k=1; % initialize k
g_n=x^(k-1)/factorial(k-1); % begin with the first term
g=g_n;
while i>k; % let index increase until number of desired terms reached
k=k+1; % increase index by 1
g_n=x^(k-1)/factorial(k-1);
g=g+g_n; %add the next term in the series
end
disp(g)
```

I changed my code to what is listed above and it seemed to help entirely.

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