Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

How do you find the power series for a function centered at $c$ $c$ ?

1 Answer

Oct 10, 2014

Taylor Series centered at c#

$f (x) = \infty \sum n = 0 \frac{f^{(n)} (c)}{n!} {(x - c)}^{n}$ $f(x)=sum_{n=0}^infty {f^{(n)}(c)}/{n!}(x-c)^n$

I hope that this was helpful.

Related questions

What is a Power Series?
How do you test a power series for convergence?
How do you find the radius of convergence for a power series?
How do you find the interval of convergence for a power series?
How do you find a power series representation for $f (x) = \frac{1}{{(1 + x)}^{3}}$ $f(x)=1/(1+x)^3$ ?
How do you find a power series representation for $\frac{x^{2}}{{(1 - 2 x)}^{2}}$ $x^2 / ( 1 - 2x )^2$ ?
How do you find a power series representation for $\frac{1 + x}{{(1 - x)}^{2}}$ $(1+x)/((1-x)^2)$ ?
How do you find a power series representation for $\frac{{(x - 2)}^{n}}{n^{2}}$ $(x-2)^n/(n^2)$ and what is the radius of...
How do you find a power series representation for $f (x) = \frac{3}{{(1 - 5 x)}^{2}}$ $f(x)=3/((1-5x)^2)$ and what is the radius of...
How do you find a power series representation for $\frac{x}{1 - x^{2}}$ $x/(1-x^2)$ and what is the radius of convergence?

See all questions in Introduction to Power Series

Impact of this question

8274 views around the world

You can reuse this answer
Creative Commons License