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Math Help - convergence of a sequence

  1. #1
    Junior Member
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    convergence of a sequence

    just a quick question since i have no idea how to test if my thinking is right or now with maple or anything else...

    i have the series:

    a_{n}= ln(n+1) - ln*n does this converge or diverge ?

    my thinking was:

    ln(n+1) - ln *n = ln (n+1-n) = ln (1) = 0


    and the limit of 0 is zero
    is this correct ?
    could you help me find a way of solving such tasks with the computer to check my results ?

    thanks in advance
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  2. #2
    Super Member malaygoel's Avatar
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    Quote Originally Posted by coobe View Post

    ln(n+1) - ln *n = ln (n+1-n) = ln (1) = 0
    ln(n+1) - ln *n = ln (\frac{n+1}{n})
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  3. #3
    Senior Member Twig's Avatar
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    hi

    Hi

    What do you mean by  ln * n

    If you mean  ln(1+n)-ln(n) = ln(1+\frac{1}{n}) \to 0 \; \; \; , n \to \infty
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