MATLAB Answers

## Solving questions related to taylor series expansion

Asked by Max Altshuler

### Max Altshuler (view profile)

on 11 Apr 2019
Latest activity Edited by James Tursa

### James Tursa (view profile)

on 11 Apr 2019
Accepted Answer by James Tursa

### James Tursa (view profile)

x = pi/4;
i = 2;
term(1) = -0.080746;
while term(i-1) >= 0.0001
term(i) = ((-1)^i/factorial(2*i+1))*x^(2*i+1)
i = i+1
end
term1(1) = -0.080746;
a = 2;
while term1(a-1) >= 1*10^-10
term1(a) = ((-1)^a/factorial(2*a+1))*x^(2*a+1)
a = a+1
end
fprintf('It takes %i terms',i)
fprintf('It takes %i terms',a) My code is above and what follows is the question. I do not understand why this is not working. The first while loop works correctly but the second does not. Also, would a correct answer for the last part be "You can make it so that if 'i' reaches a certain number, break the loop."
Thanks for any help...

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## 1 Answer

Answer by James Tursa

### James Tursa (view profile)

on 11 Apr 2019
Edited by James Tursa

### James Tursa (view profile)

on 11 Apr 2019
Accepted Answer

You need to compare the absolute value of the term to your tolerance. Remember, some of the terms are negative.
while abs(term(i-1)) >= 0.0001
etc.
And yes, you would break if your counter (i or a) reached a predetermined limit.
You will also need to double check and fix up the indexing you are using for your calculations ...

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