The following problem was puzzling me so any help would be greatly appreciated!

Find the interval of convergence for the following series:

sigma starting at j=0 and going to infinity of:

(-1)^j times (x)^(2j) divided by j factorial

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- April 24th 2007, 04:29 PMfaure72Interval of convergence (calculus)
The following problem was puzzling me so any help would be greatly appreciated!

Find the interval of convergence for the following series:

sigma starting at j=0 and going to infinity of:

(-1)^j times (x)^(2j) divided by j factorial - April 24th 2007, 04:37 PMThePerfectHacker
Since the limit is zero it means the interval of convergence is the entire number line.

- April 24th 2007, 04:41 PMJhevon
- April 24th 2007, 04:42 PMThePerfectHacker
- April 24th 2007, 04:46 PMJhevon
- April 24th 2007, 06:06 PMclockinglyConvergence problem
Using the ratio test, you wind up with lim of x^2 divided by k+1 as j approaches infinity. This limit will be 0 regardless of what x equals.