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Finding the interval of convergence

Thread starter NihalRi
Start date Oct 27, 2016
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Convergence Interval

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1 reply · 1K views · last reply Oct 28, 2016

NihalRi

Thread starter
Oct 27, 2016

#1

Homework Statement

The question was to find the interval of convergence for a series.

Homework Equations

an+1/an

The Attempt at a Solution

Handwritten ratio test derivation for F(x) = sum from n=0 to infinity of x^(2n)/(2n)!, showing a(n+1)/a(n) simplified to x^2/((2n+1)(2n+2)) and the limit as n approaches infinity equal to 0, concluding interval of convergence (-∞, ∞).

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Mark44

Mentor

Insights Author

Oct 28, 2016

#2

NihalRi said:

Homework Statement

The question was to find the interval of convergence for a series.

Homework Equations

an+1/an

The Attempt at a Solution

View attachment 108091

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