- #1

Ackbach

Gold Member

MHB

- 4,155

- 91

-----

Prove that every nonzero coefficient of the Taylor series of

\[

\left(1 - x + x^2\right) e^x

\]

about $x=0$ is a rational number whose numerator (in lowest terms) is either $1$ or a prime number.

-----

Remember to read the http://www.mathhelpboards.com/showthread.php?772-Problem-of-the-Week-%28POTW%29-Procedure-and-Guidelines to find out how to http://www.mathhelpboards.com/forms.php?do=form&fid=2!