- #1

kexanie

- 11

- 0

## Homework Statement

Actually this is not from homework. It occurs in my brain this afternoon.

Is it possible to derive the analytic expression of a function by its Taylor series expansion?

For example, given the following expansion, how to derive the analytic expression of it?

f(x) = 1- x / (1!) + (x^2) / (2!) - … + (-1)^n * (x^n) / (n!)