convergence - Math Help Forum

$Math Help Forum$

$Go Back$		Math Help Forum > Pre-University Math Help > Pre-Calculus
$Reload this Page$ convergence

Download MHF Flyer

Mark Forums Read

$Reply$

#1

$Old$ November 3rd, 2009, 12:51 AM

$dhiab's Avatar$

dhiab $dhiab is offline$

Senior Member

Join Date: May 2009

Location: ALGERIA

Posts: 415

Country:

Algeria

Thanks: 115

Thanked 23 Times in 19 Posts

$dhiab is on a distinguished road$

$Default$ convergence

a is the real number ,Studen the convergence of the sequence :
$U_{n}=\frac{a^{n}}{n^{n}}$

__________________

To view links or images in signatures your post count must be 10 or greater. You currently have 0 posts.

$Reply With Quote$

Advertisement

#2

$Old$ November 3rd, 2009, 04:36 AM

Jameson $Jameson is offline$

Administrator

Join Date: Oct 2005

Location: Earth

Posts: 2,208

Thanks: 389

Thanked 1,211 Times in 699 Posts

$Jameson has much to be proud of$ $Jameson has much to be proud of$ $Jameson has much to be proud of$ $Jameson has much to be proud of$ $Jameson has much to be proud of$ $Jameson has much to be proud of$ $Jameson has much to be proud of$ $Jameson has much to be proud of$ $Jameson has much to be proud of$ $Jameson has much to be proud of$

$Default$

$U_n = \left( \frac{a}{n} \right)^n$

You said sequence, not series, so this question is about the behavior of U_n as n approaches infinity. I would start with assuming $\lim_{n \rightarrow \infty} U_n = L$ and play around with that, most likely using logarithms.

$Reply With Quote$

$Reply$

« How to plot function + function ? | Top | (help me in this questions ) »

Thread Tools
$Show Printable Version$ Show Printable Version $Email this Page$ Email this Page
Display Modes
$Linear Mode$ Linear Mode $Hybrid Mode$ Switch to Hybrid Mode $Threaded Mode$ Switch to Threaded Mode

Posting Rules
You may not post new threads You may not post replies You may not post attachments You may not edit your posts BB code is On Smilies are On [IMG] code is On HTML code is Off Trackbacks are Off Pingbacks are Off Refbacks are Off

Forum Jump

All times are GMT -7. The time now is 12:26 AM.

your link here Sponsors

rv solar, e-learning,

Math Help Forum is a community of maths forums with an emphasis on maths help in all levels of mathematics.
Register to post your math questions or just hang out and try some of our math games or visit the arcade.