September 29th, 2018, 09:33 PM  #1 
Senior Member Joined: Apr 2017 From: New York Posts: 155 Thanks: 6  multivariable limit
in this limit: should I go this way (1) plug in x=1 and simplify the equation and (2) plug y=1 and simplify the equation or there is some more advanced method that I should apply and I can't see? 
September 29th, 2018, 11:51 PM  #2 
Senior Member Joined: Sep 2015 From: USA Posts: 2,458 Thanks: 1339 
multivariable limits are tricky. The possible limits all need to exist and agree when being evaluated in any direction in order for the limit to actually exist. Generally when you see problems like this some factoring or similar will remove the 0 from the denominator if it exists. In this problem just plug the values in $\dfrac{2(1^2) + 3(1)(1) + 4((1)^2)}{3(1^2)+5((1)^2)} = \\ \dfrac{23+4}{3+5}=\dfrac{3}{8}$ 

Tags 
limit, multivariable 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Multivariable (maybe) Calculus Help  akansel  Calculus  6  October 16th, 2017 08:44 AM 
multivariable limit  SenatorArmstrong  Calculus  4  July 3rd, 2017 02:02 AM 
How do I prove this multivariable limit problem?  RedBarchetta  Calculus  1  May 9th, 2014 09:26 PM 
Multivariable Optimization  jigsaw  Applied Math  1  August 19th, 2012 12:42 PM 
MULTIVARIABLE CALC. HELP!  person1200  Calculus  5  August 23rd, 2010 12:41 PM 