Show that the limit does not exist: limit    (x^2+y-2)/(x-2y+4)                    (?,?)→(0,2) I got -1/2 and 0 and that they do not exist, but I may have used the L'pitals rule to many times.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.2: Polynomial Functions
Problem 96E: What is the purpose of the Intermediate Value Theorem?
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Show that the limit does not exist:

limit    (x^2+y-2)/(x-2y+4)                   

(?,?)→(0,2)

I got -1/2 and 0 and that they do not exist, but I may have used the L'pitals rule to many times. 

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