October 25th, 2009, 07:11 PM  #1 
Newbie Joined: Oct 2009 Posts: 4 Thanks: 0  Find a value a such that limit
lim ((5x^2+ax+/(x^2x2)) x>2 How do I find the value of a? Could someone help me with this problem? Thank you 
October 25th, 2009, 07:16 PM  #2 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,637 Thanks: 959 Math Focus: Elementary mathematics and beyond  Re: Find a value a such that limit
What is equal to?

October 25th, 2009, 07:27 PM  #3  
Newbie Joined: Oct 2009 Posts: 4 Thanks: 0  Re: Find a value a such that limit Quote:
 
October 25th, 2009, 07:33 PM  #4 
Senior Member Joined: Mar 2007 Posts: 428 Thanks: 0  Re: Find a value a such that limit
You can perform the division, or factor and consider that you'd need to reduce by the factor(x  2), or can use the Factor Theorem to show that the top is divisible by the bottom [has a remainder of zero] if a = 14 giving a limiting value of 2. Otherwise the denominator approaches zero.

October 25th, 2009, 07:47 PM  #5  
Newbie Joined: Oct 2009 Posts: 4 Thanks: 0  Re: Find a value a such that limit Quote:
 
October 25th, 2009, 08:24 PM  #6 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,637 Thanks: 959 Math Focus: Elementary mathematics and beyond  Re: Find a value a such that limit
As David pointed out, the a is 14. 
October 25th, 2009, 09:39 PM  #7 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,637 Thanks: 959 Math Focus: Elementary mathematics and beyond  Re: Find a value a such that limit
"Find a value a such that [the] limit [exists]" ?

October 25th, 2009, 09:59 PM  #8 
Newbie Joined: Oct 2009 Posts: 1 Thanks: 0  Find a value a such that limit
LIM x>2 sin(1/x1/2) can anybody solve this problem? 
October 26th, 2009, 07:13 AM  #9  
Senior Member Joined: Mar 2007 Posts: 428 Thanks: 0  Re: Find a value a such that limit Quote:
 

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