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Math Help - failure of ratio test examples

  1. #1
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    failure of ratio test examples

    A) Give an example of a convergent sequence (Sn) of positive numbers such that lim (S(n+1) / Sn) = 1
    B) Give an example of a divergent sequence (Tn) of positive numbers such that lim(T(n+1) / T(n) = 1
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  2. #2
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    Quote Originally Posted by learn18 View Post
    A) Give an example of a convergent sequence (Sn) of positive numbers such that lim (S(n+1) / Sn) = 1
    s_n=n
    B) Give an example of a divergent sequence (Tn) of positive numbers such that lim(T(n+1) / T(n) = 1
    s_n=1/n
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