Question

I am asked to find the nth Maclaurin polynomial for the function f(x)=e^-x in sigma notation. Could someone please help me figure this out?

Answer 1

I know how to find Maclaurin polynomials of order n=0,1,2,3,4... but I am confused about the nth term in sigma notation.

Answer 2

f(x) = e^-x is one of the elementary functions that can be expressed by a Maclaurin series in sigma notation.
\[\sum_{n=0}^{\infty}\frac{ (-1)^n x^n }{ n! }\]I believe the above is what you are looking for.