Mao

Handout 2

Power Series and Polynomials

Power series and polynomials are a great way of approximating certain functions like sinx(x)sinx(x) or exe^x:

sin(x)=∑n=0∞(−1)nxnn! sin(x) = \sum_{n=0}^\infty \frac{(-1)^n x^n}{n!}
e(x)=∑n=0∞(−1)nxnn! e(x) = \sum_{n=0}^\infty \frac{(-1)^n x^n}{n!}