- #1
checkmatechamp
- 23
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Homework Statement
∑ x2n / n!
The limits of the sum go from n = 0 to n = infinity
Homework Equations
The Attempt at a Solution
So I take the limit as n approaches infinity of aa+1 / an. So that gives me:
((x2n+2) * (n!)) / ((x2n) * (n + 1)!)
Canceling everything out gives me x2 / (n + 1)
The limit as n approaches infinity is x2 1 / (infinity + 1), which is x^2 * 0
So now where do I go from here? x^2 * 0 is 0. So does that mean my interval of convergence is just the point x = 0?