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Finding the limit

  • #1
lim (2-x)/(x^2-4)
x>2

Find the limit(is it exists)

The substitution method failed so I factored the bottomto (x+2)(x-2).Where do I go from here?

Homework Statement





Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
HallsofIvy
Science Advisor
Homework Helper
41,833
955
A very important but often overlooked "law of limits":

If f(x)= g(x) for all x except x= a, then [itex]\displaytype\lim_{x\to a}f(x)= \lim_{x\to a} g(x)[/itex].

Here, for all x except x= 2, (2- x)/(x-2)(x+2)= -1/(x+2).
 
  • #3
346
0
use l'Hospital's rule
 
  • #4
Thank you
 

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