how can i evaluate e^x using maclaurin expansion?

I already have the factorial function

Answer 1

[Torsten]

Don't use factorials explicitly ; define the terms of the Taylor series recursively:

x=2;

n=10;

y=1;

summe=y;

for i=1:n

y=y*x/i;

summe=summe+y;

end

The variable 'summe' will contain an approximation to exp(x).

Now try to include an estimate for n such that

abs(sum_{i=0}^{n} x^i/i! - exp(x)) < eps

for a prescribed accuracy eps > 0.

Best wishes

Torsten.