Question

Maclaurin series for e^x/(1+x). Out to five terms.

Answer 1

1+ x^2/2 -x^3/3 +(3 x^4)/8 -(11 x^5)/30

Answer 2

Maclaurin series = Taylor Series expansion when c=0

Answer 3

How are the series multiplied/divided? I have the individual series of e^x and 1/1-(-x) worked out.

Answer 4

You cannot do that, Individual indices of the series cannot be individually divided by a non constant term, you'd have to take the derivative of the entire function separately and construct a taylor series for it using taylor's theorem. because values of the functions will not converge to the product of the two.

Answer 5

Thanks.