Function as a Geometric Series

Example

image Solve:

  • This function looks very alike the Infinite Geometric function:

    image

  • So we extract the key numbers out:

    • First term: a = 1

    • Common Ratio: r = -x²

  • So the infinite geometric series would be:

    image

  • Expand the formula to be:

    image

PreviousFinding Taylor series for a functionNextMaclaurin Series of Common functions

Last updated