# Homework Help: Show that it is Divergent

1. Aug 31, 2009

### salbakuta03

1. The problem statement, all variables and given/known data

Show $$\sum_{k=1}^{\infty} c\k^(1\div2k, c is an element of [tex]\Re$$, 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. Aug 31, 2009

### Elucidus

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?

--Elucidus

--Elucidus