I need to construct a divergent sequence such that , and I can't think of one
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Hello, Originally Posted by akolman I need to construct a divergent sequence such that , and I can't think of one ? Note that if you apply the ratio test and find the limit to be 1, the test is inconclusive.
Originally Posted by Moo Hello, ? Note that if you apply the ratio test and find the limit to be 1, the test is inconclusive. The sequence converges to 0, because . That will work for the Harmonic series , but I don't think that will work in this case. I need something like and
Originally Posted by akolman The sequence converges to 0, because . That will work for the Harmonic series , but I don't think that will work in this case. Please excuse me, I thought we were working on series I need something like and So take which goes to 1 as n goes to infinity.
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