find the limit, if it exists. If the limit does not exist, explain why. limx→2 1−|x|^2/1−x^2

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 37E
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find the limit, if it exists. If the limit does not exist, explain why.

limx→2 1−|x|^2/1−x^2

  • You must show ALL of your work in order to receive full credit.
  • Do NOT use differentiation.
  • Do NOT use L'Hospital's Rule.
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ISBN:
9780321964038
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Pearson Addison Wesley,