Hello, I have this serie: I have tried to apply ratio test but it is indefinite. Any ideas? Thank you!
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Originally Posted by Bop Hello, I have this serie: I have tried to apply ratio test but it is indefinite. Any ideas? Thank you! Is this asking to determine the convergence/divergence for . Note that . Thus, we can see that . So, your series converges.
How do you know that ?
Originally Posted by Bop How do you know that ? It should be . It's the Maclaurin series for . Alternatively, suppose that shared convergence with some series . Then, we get that for some constant . Letting gives . Try to find a that works.
Originally Posted by Drexel28 It should be . It's the Maclaurin series for . Alternatively, suppose that shared convergence with some series . Then, we get that for some constant . Letting gives . Try to find a that works. I think it is typo, Right?
Originally Posted by TWiX I think it is typo, Right? No. that part is correct. It should have been originally.
With the limits is , so it converges. Thank you very much!
Hi, I was thinking, I thought we could only apply this method with positive terms series, and this has negative terms, so, is it right?
Hi, I have taken a look at my book and it says this test is for postive series, is it wrong?
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