Explain why the function is discontinuous at the given number a. (Select all that apply.)x² - 2xx² - 4f(x)=if x # 2if x = 2a = 2f(2) is undefined.f(2) is defined and lim f(x) is finite, but they are not equal.X→2Olim f(x) does not exist.X-2lim f(x) and lim f(x) are finite, but are not equal.X+2+X-2none of the above

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Answered: Explain why the function is…

Explain why the function is discontinuous at the given number a. (Select all that apply.) x2 - 2x x2 - 4 1 f(x) = if x # 2 if x = 2 a = 2

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section: Chapter Questions

Problem 15T

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Question

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Explain why the function is discontinuous at the given number a. (Select all that apply.)
x² - 2x
x² - 4
f(x)
=
if x # 2
if x = 2
a = 2
f(2) is undefined.
f(2) is defined and lim f(x) is finite, but they are not equal.
X→2
Olim f(x) does not exist.
X-2
lim f(x) and lim f(x) are finite, but are not equal.
X+2+
X-2
none of the above

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