sn = (((-1)^n)*n)/(2n - 1) How would I determine the convergence or divergence of the sequence (sn) and find the limit if it exists?
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Originally Posted by bearej50 sn = (((-1)^n)*n)/(2n - 1) How would I determine the convergence or divergence of the sequence (sn) and find the limit if it exists? As this sequence has alternating signs it can only converge to and so must also converge to . For : as so the original sequence does not converge. CB
I would see if this has a limit by the ratio test: but for the ratio test (I should have probably put this in before =S) we need to take the modulus. Unfortunately, if the ratio test produces 1 the test doesn't hold. =S
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