Obtain polynomial approximation P(x) to F(x)=e^-2x using taylor's expansion about x=0 and determinei) x when the error in P(x) obtained from the first four terms only is to be less than 10^-6 after...

Obtain polynomial approximation P(x) to F(x)=e^-2x using taylor's expansion about x=0 and determinei) x when the error in P(x) obtained from the first four terms only is to be less than 10^-6 after rounding.ii) the number of terms in the approximation to find results correct to 10^-10 for 0