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

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December 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!
December 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.
December 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!

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