Examine the graph of y = f(x) in the vicinity of x = c, and then select which statements are true.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.6: Rational Functions
Problem 2E
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O Macmillan Learning
Examine the graph of y = f(x) in the vicinity of x = c, and then select which statements are true.
Select the true statements.
8
The graph of y =
8
y = f(x)
X
lim f(x) = 2€
X-C
If 6 = 0, then the gap disappears.
The value of 8 can be made small enough that the discontinuity vanishes.
limx→c f(x) does not exist.
f(x) has a jump discontinuity at x = c.
Transcribed Image Text:O Macmillan Learning Examine the graph of y = f(x) in the vicinity of x = c, and then select which statements are true. Select the true statements. 8 The graph of y = 8 y = f(x) X lim f(x) = 2€ X-C If 6 = 0, then the gap disappears. The value of 8 can be made small enough that the discontinuity vanishes. limx→c f(x) does not exist. f(x) has a jump discontinuity at x = c.
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