Introduction to Power Series

Key Questions

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

    Taylor Series centered at c#

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

    I hope that this was helpful.

    Wataru · · Oct 10 2014
  • What are the most important power series to memorise?

    Useful Maclaurin Series

    1/{1-x}=sum_{n=0}^infty x^n

    e^x=sum_{n=0}^infty{x^n}/{n!}

    sinx=sum_{n=0}^infty(-1)^n{x^{2n+1}}/{(2n+1)!}

    cosx=sum_{n=0}^infty(-1)^n{x^{2n}}/{(2n)!}

    I hope that this was helpful.

    Wataru · · Oct 19 2014
  • What is a Power Series?

    You can thing of a power series as a polynomial function of infinite degree since it looks like this:

    sum_{n=0}^inftya_nx^n=a_0+a_1x+a_2x^2+a_3x^3+cdots

    I hope that this was sufficient.

    Wataru · · Sep 26 2014

Questions

Power Series