
Real Analysis Real Analysis Math Forum 
 LinkBack  Thread Tools  Display Modes 
November 8th, 2009, 12:57 AM  #1 
Newbie Joined: Nov 2009 Posts: 1 Thanks: 0  Lim of sqrt (1cos(x)) / x when x> 0?
hi, i need to proof: lim sqrt (1cos(x)) / x when x>0. i think this limit is undefined, but i don't know how to prove it  without Le'Hopital's rule.. Thanks for your help! 
November 8th, 2009, 06:15 AM  #2 
Senior Member Joined: Jun 2009 Posts: 150 Thanks: 0  Re: Lim of sqrt (1cos(x)) / x when x> 0?
Another approach would use the (first two nonzero terms of) the Maclaurin series for cos(x) .

November 8th, 2009, 05:45 PM  #3  
Global Moderator Joined: May 2007 Posts: 5,905 Thanks: 420  Re: Lim of sqrt (1cos(x)) / x when x> 0? Quote:
You end up with (sin(x)/x)/sqrt(1+cos(x)). You should have already sin(x)/x > 1 as x>0  

Tags 
1cosx, lim, sqrt, x> 
Search tags for this page 
lim x/sqrt(1cosx),limite x/(sqrt(1cosx)) x>0,lim 무한대 root 1cosx,lim sqrt 1cosx/sinx,limit 1cosx/x,sol. of lim x approaches to 0 x/root 1cosx,lim sqrt(1cos x)/x,lim x0 (Square root of 1cosx)/x,lim to 0 (square root(1cosx))/x,limit of (sqrt 1cos^2x)/x,limit x/sqrt(1cosx),lim 0 sqrt 1cosx,lim 무한대 루트 1cosx,how to proof that 1cosx/x=0,limits of x/square root of (1cosx)
Click on a term to search for related topics.

Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
(sin(x)+log(x)+sqrt(x))'  ungeheuer  Calculus  1  August 30th, 2013 04:34 AM 
int dx/sqrt{a}  ungeheuer  Calculus  9  January 28th, 2013 12:49 PM 
sqrt sqrt 2  northstar2595  Algebra  6  July 18th, 2010 04:36 PM 
simplifying sqrt[a + sqrt(b)]  nikkor180  Real Analysis  3  June 25th, 2009 03:18 AM 
f'(x)=Sqrt[y(x)^2+f(x)^2]  Heki  Calculus  10  November 29th, 2007 03:41 PM 