this is far as i got.. how can i finish this?

http://i176.photobucket.com/albums/w...titled-136.jpg

i m having a problem with that n!

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- Dec 12th 2008, 11:15 PMLegendsn3verdie[SOLVED] hmm studyin for final stuck on this help plz
this is far as i got.. how can i finish this?

http://i176.photobucket.com/albums/w...titled-136.jpg

i m having a problem with that n! - Dec 12th 2008, 11:21 PMMathstud28
You made a slight error. It should be $\displaystyle \lim_{n\to\infty}\left|n(2x-1)\right|$. Now this is obviously not less than one except for the value of x such that $\displaystyle 2x-1=0$. You could also notice in the beginning that the factorial will dominate the exponential regardless of the base and cause $\displaystyle \lim_{n\to\infty}n!(2x-1)^n$ to diverge to infinity for any value of x.

- Dec 12th 2008, 11:27 PMLegendsn3verdie