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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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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
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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