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Thank You! 

Julius  Feb 20, 2018
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 #1
avatar+12266 
+2

Direct sustitution does not work for this example because the denominator would be zero...not allowed.

 

(x^2-x-2)   the numerator can be factored to  (x-2)(x+1)

  now   (x-2)(x+1) / (x-2)   becomes   (x+1)     the equation of a line  (except x cannot equal 2)

 

Then  as x approaches 2 the limit becomes  (x+1) = 3

Here is the graph:  (note: I drew a little hole in the graph at x=2)

ElectricPavlov  Feb 20, 2018

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