
Real Analysis Real Analysis Math Forum 
 LinkBack  Thread Tools  Display Modes 
August 28th, 2017, 10:45 AM  #1 
Newbie Joined: Aug 2017 From: Milan Posts: 3 Thanks: 0  How could I solve this limit?
$\displaystyle \lim_{x\to 0} (\cos x+(x^21)^{1/3})/(x\sin(x^2)x(e^x1))$ I used asymptotic analysis and the limit converges to 1/2, but wolframalpha gives complex solution. Thank you. Last edited by skipjack; August 28th, 2017 at 11:42 AM. 
August 28th, 2017, 11:38 AM  #2 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,276 Thanks: 2437 Math Focus: Mainly analysis and algebra 
MacLaurin series.

August 28th, 2017, 11:40 AM  #3 
Global Moderator Joined: Dec 2006 Posts: 18,847 Thanks: 1568 
The limit is 1/6, which is what WA gives if you click to tell it to use the realvalued cube root. Are you allowed to use de l'HÃ´pital's rule to obtain the limit? If not, find the Maclaurin series for the numerator and the denominator. 

Tags 
limit, solve 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Can u solve this limit?  valonidv7  Calculus  6  May 29th, 2016 10:37 AM 
How to solve this limit  complicatemodulus  Calculus  15  September 3rd, 2015 07:49 AM 
How to solve this limit  Bhushan  Calculus  7  May 13th, 2013 07:40 PM 
Can't solve this limit  chocolatesheep  Calculus  4  December 3rd, 2012 09:58 AM 
solve limit  kevpb  Calculus  1  January 20th, 2012 01:27 AM 