# Math Help - The divergence of the reciprocals of odd integers

1. ## The divergence of the reciprocals of odd integers

Can anyone prove whether
S = 1 + 1/3 + 1/5 + ... + 1/(2n-1)
converges or diverges?

2. Originally Posted by paupsers
Can anyone prove whether
S = 1 + 1/3 + 1/5 + ... + 1/(2n-1)
converges or diverges?
$\sum_{n=1}^{\infty}\frac{1}{2n}\leq\sum_{n=1}^{\in fty}\frac{1}{2n-1}$

Use the comparison test.