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May 21st, 2012, 01:58 PM   #1
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In need of help disk, series test, taylor, and power series

I don't know where to start for these series test
all sum as n goes to infinity, n=1

((2n-1)/(3n+1))^n

((3n^3 -2n^2 + 4)/ (n^5 -n^3 +2)

ln((3n)/(4n+5))

(n(-3)^n)/(4^(n-1))
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May 22nd, 2012, 07:58 AM   #2
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Re: In need of help disk, series test, taylor, and power se



Ratio test:











Thus, the series converges absolutely.


That is about all I can do at the moment. If you require further help it would be best if you show some work and explain exactly where you are having difficulty.

Moved to Real Analysis and Topology.
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May 22nd, 2012, 12:10 PM   #3
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Re: In need of help disk, series test, taylor, and power se

You refer, in your title, to "disk" (I assume you mean "disk of convergence"_, Taylor, and power series but those only apply to series of powers of x, not to numerical series that you give here.
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