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Homework Help: Show that it is Divergent

  1. Aug 31, 2009 #1
    1. The problem statement, all variables and given/known data

    Show [tex]\sum_{k=1}^{\infty} c\k^(1\div2k, c is an element of [tex]\Re[/tex], c > 0, is divergent.

    2. Relevant equations
    1/n is divergent

    3. The attempt at a solution
    Finding a similar series and doing comparison test, is it right?
    Last edited: Aug 31, 2009
  2. jcsd
  3. Aug 31, 2009 #2
    Assuming the terms in the series are of the form c(1/2k) then the Limit Comparison Test would work too (and probably more cleanly). The series of 1/n is a good choice for this comparison. Your TeX code has the terms as "c\k^(1\div2k)" which renders without any mention to the k after the backslash. Is it displaying incorrectly? What is \k?


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