 #1
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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.
Attachments

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