Is the series of c(1/2k) divergent?

[salbakuta03]

Homework Statement

Show [tex]\sum_{k=1}^{\infty} c\k^(1\div2k, c is an element of $$\Re$$, c > 0, is divergent.<br /> <br /> <h2>Homework Equations</h2><br /> 1/n is divergent<h2>The Attempt at a Solution</h2><br /> Finding a similar series and doing comparison test, is it right?[/tex]

 

[Elucidus]

Homework Statement

Show $$\sum_{k=1}^{\infty} c\k^(1\div2k)$$, c is an element of $$\Re$$, c > 0, is divergent.

Homework Equations

1/n is divergent

The Attempt at a Solution

Finding a similar series and doing comparison test, is it right?

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