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anonymous
 4 years ago
the series ((1)^n+1)(x2)^n)/n .... the interval of convergence is 1<x<3, but i need help checking the convergence of the endpoints.
anonymous
 4 years ago
the series ((1)^n+1)(x2)^n)/n .... the interval of convergence is 1<x<3, but i need help checking the convergence of the endpoints.

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0another end point one, this time i do it with paper before typing

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0now we try replacing x by 1 btw you have done all the hard work, the rest should be the easy part

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0at x=1 i think it is \[\sum_{?}^{?} (1)^{n+1}(1)^{n}\div n\] ???

saifoo.khan
 4 years ago
Best ResponseYou've already chosen the best response.0Whenever free, http://openstudy.com/study#/updates/4f333c8be4b0fc0c1a0b72dd

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ok very smilar to the last one

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0but this time we don't do anything stupid \[(1)^{n+1}(1)^n=(1)^{2n+1}=1\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0on account of \[2n+1\] is odd.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so does not converge at x = 1

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0what do you want to bet it does converge at x = 3?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0yeah well we can just about visualize it because it is the same as the last one. this time you get \[(1)^{n+1}\times 1=(1)^{n+1}\]so we are in good shape

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0thank you! another question...

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0this one alternates in other words, whereas the other one does not

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0you got zarkon watching so if i mess up he will step in wish he had stepped in to the last one so i wouldn't have made a fool out of myself
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