## Thomas' Calculus 13th Edition

$x+x^2+\dfrac{x^3}{3}-\dfrac{x^5}{30}-...$
Find $e^x \sin x$ $e^x \sin x=(1+x+\dfrac{x^2}{2!}+\dfrac{x^3}{3!}+....)(x-\dfrac{x^3}{3!}+\dfrac{x^5}{5!}+..)$ $\implies e^x \sin x=x+x^2+\dfrac{x^3}{3}-\dfrac{x^5}{30}-...$