# [SOLVED] hmm studyin for final stuck on this help plz

• Dec 12th 2008, 11:15 PM
Legendsn3verdie
[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 PM
Mathstud28
Quote:

Originally Posted by Legendsn3verdie
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!

You made a slight error. It should be $\lim_{n\to\infty}\left|n(2x-1)\right|$. Now this is obviously not less than one except for the value of x such that $2x-1=0$. You could also notice in the beginning that the factorial will dominate the exponential regardless of the base and cause $\lim_{n\to\infty}n!(2x-1)^n$ to diverge to infinity for any value of x.
• Dec 12th 2008, 11:27 PM
Legendsn3verdie
Quote:

Originally Posted by Mathstud28
You made a slight error. It should be $\lim_{n\to\infty}\left|n(2x-1)\right|$. Now this is obviously not less than one except for the value of x such that $2x-1=0$. You could also notice in the beginning that the factorial will dominate the exponential regardless of the base and cause $\lim_{n\to\infty}n!(2x-1)^n$ to diverge to infinity for any value of x.

wow i appreciate it bro thanks man!