Comparison Test for Series

Limits, differentiation, related rates, integration, trig integrals, etc.
dani.bezerra
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Comparison Test for Series

Postby dani.bezerra » Sat Feb 23, 2013 10:59 am

Hi, I'm trying solve this question by the comparison test, 'cause is the only test that works. But I'm having difficulties, I can't find other series to compare. Someone could help me with it?

nona.m.nona
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Re: Comparison Test for Series

Postby nona.m.nona » Sun Feb 24, 2013 5:28 pm

dani.bezerra wrote:Hi, I'm trying solve this question by the comparison test, 'cause is the only test that works. But I'm having difficulties, I can't find other series to compare. Someone could help me with it?

It might be helpful to note that is less than , that is equal to , and that is less than .

dani.bezerra
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Re: Comparison Test for Series

Postby dani.bezerra » Mon Feb 25, 2013 9:02 am

nona.m.nona wrote:It might be helpful to note that is less than , that is equal to , and that is less than .


I don't understand why is equal to . Could you explain better?

nona.m.nona
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Re: Comparison Test for Series

Postby nona.m.nona » Mon Feb 25, 2013 12:21 pm

dani.bezerra wrote:I don't understand why is equal to . Could you explain better?

It isn't. My apologies; I must have been tired when I posted this.

However, since , then and . As a result, , and you should have a known result for this last expression.

dani.bezerra
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Re: Comparison Test for Series

Postby dani.bezerra » Mon Feb 25, 2013 2:27 pm

Now make sense.. thanks for your explanation..


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