- #1

- 18

- 0

## Homework Statement

To prove the inequality (attached)

## Homework Equations

## The Attempt at a Solution

I tried factoring out a 2 from each of the even terms in the denominator. This allowed me to cancel out all the terms (odd) on the numerator up to 1005.

Leaves me with:

[tex]

\frac{1}{2^{1006}}\frac{1007*1009*...*2009*2011}{2*4*...*1004*1006} < \frac{1}{\sqrt{2010}}

[/tex]

I don't know how to continue after this point. Can someone please give me a hint? Thanks.