Determine whether the function x2 + 2 x > 2 f(x) = x = 2 is continuous at the 4х — 2 x < 2 given point. lim,-2 f(x) does not exist ; f(x) is discontinuous at 2 O lim,→2 f(x) exist ; f(x) is continuous at 2 O lim,2 f(x) + f(2) ; f(x) is discontinuous at 2 o lim,→2f(x) = f(2) ; f(x) is continuous at 2

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Determine whether the function
x2 + 2 x > 2
f(x) = {6
4х — 2
= 2 is continuous at the
x < 2
-
given point.
lim, 2 f(x) does not exist ; f(x) is
x→2
discontinuous at 2
O lim,-2 f(x) exist ; f(x) is continuous at 2
lim, 2 f(x) # f(2) ; f(x) is discontinuous
x→2
at 2
O lim→2f(x) = f(2) ; f(x) is continuous at 2
Transcribed Image Text:Determine whether the function x2 + 2 x > 2 f(x) = {6 4х — 2 = 2 is continuous at the x < 2 - given point. lim, 2 f(x) does not exist ; f(x) is x→2 discontinuous at 2 O lim,-2 f(x) exist ; f(x) is continuous at 2 lim, 2 f(x) # f(2) ; f(x) is discontinuous x→2 at 2 O lim→2f(x) = f(2) ; f(x) is continuous at 2
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