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calculus

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determine if the series is absolutely convergent and convergent

the sum from n=1 to infinity of
sin(n^2)/n^2

what series test should I use and how?
the ratio test?

  • calculus - ,

    |sin(n^2)/n^2 | < 1/n^2 and sum from 1 to infinity of 1/n^2 converges (to pi^2/6 )

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