## anonymous 5 years ago can any one help to explain how express functions as a power series?

1. anonymous

A power series is expressed in summation notation:$\sum_{0}^{\infty} a _{n}$ Above is an example of how a power series is expressed... Now, in order to make it fit this description, you have to recognize a pattern in your function. For example, the sequence {1,2,4,8,16,32} always increases by a multiple of 2. Therefore, you can make this sum: $\sum_{0}^{5} 2^{n}$ If you have anymore questions, ask away!

2. anonymous

how would you take a function, such as 1/2+x, and represent it as a power series?

3. anonymous

how would you take a function, such as 1/2+x, and represent it as a power series?

4. anonymous

2+x in denominator?

5. anonymous

yes. sorry. 1/(2+x)