So it says find the Maclaurin series of

$\displaystyle f(x)=e^(2x)$

Then the part I don't get: How many terms of the series are required so that the error of the approximation is at most 0.01 for all x in the interval [−2, 2] ?

I know the Mac. Series is (2x)^n/n! but how to find the error?