Science:Math Exam Resources/Courses/MATH103/April 2015/Question 01 (e) (ii)/Statement

Match the given Taylor series and functions below

$\sin x,\cos x,\frac{1}{(1-x{)}^2},\ln (1+x),e^{-x}$

(i) $\sum _{n=1}^{\mathrm{\infty }}\frac{(-1{)}^{n-1}}{(2n-1)!}{x}^{2n-1}=x-\frac{x^3}{6}+\frac{x^5}{120}\cdots$