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anonymous
 5 years ago
((2+(1)^n)/n) converge or diverge?
anonymous
 5 years ago
((2+(1)^n)/n) converge or diverge?

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I can't find a convergence test that is conclusive...Duke, what's your process?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0it's a geometric series.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I used comparison test. Assume 1/n > diverges and (1)^n/n converges. ( This is a fact.) Your sequence just has a 2+ which can be dropped since +/ are meaningless. You can also use the alter series test.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0*A alternating operator can turn sequence that normally diverge to converge.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Actually, you don't just have a 2+...you have a 2/n (which is divergent). Check your parentheses.. normally I'd agree with you completely, but it breaks down into 2/n + (1)^n/n.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Exactly. That fraction degrades into 2/n + ((1)^n)/n.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0We have to wait for the person to clear this up.
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