Answered: Let f be defined for all x € R,x #2, by…

Let f be defined for all x € R,x #2, by f(x) = (x²+x-6)/(x-2). Can f be defined at x = 2 in such a way that f is continuous at this point?

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.

Chapter3: The Derivative

Section3.CR: Chapter 3 Review

Problem 6CR

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Question

Let f be defined for all x € R,x #2, by f(x) = (x²+x-6)/(x-2). Can f be defined at
x = 2 in such a way that f is continuous at this point?

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