Why is the following function discontinuous at the given number?\\ f(x) = ln |æ - 21, x = 2\\ (a) f(2) does not exist. \\ (b) lim f(x) does not exist (or is infinite).\\ (c) Both (a) and (b). \\ (d) f(2) and lim f(x) exist, but they are not equal. I-2
Why is the following function discontinuous at the given number?\\ f(x) = ln |æ - 21, x = 2\\ (a) f(2) does not exist. \\ (b) lim f(x) does not exist (or is infinite).\\ (c) Both (a) and (b). \\ (d) f(2) and lim f(x) exist, but they are not equal. I-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.
Chapter3: The Derivative
Section3.5: Graphical Differentiation
Problem 2E
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Transcribed Image Text:Why is the following function discontinuous at the given number?\\ f(x) = ln |x - 21, x = 2\\ (a) f(2) does not exist.\\ (b) lim f(x) does not exist (or is infinite).\\ (c)
Both (a) and (b). \\ (d) f(2) and lim f(x) exist, but they are not equal.
I⇒2
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