Suppose a) lim f(x) x→-3- b) lim f(x) x −3+ 7x + 10, f(x) = x² + 22, 22, Find the following values. If the limit is infinite, enter infinity or -infinity. If the limit does not exist and is not infinite, enter DNE. c) f(-3) if x < -3 if x > -3 if x -3 =

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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Suppose
a) lim f(x)
x→-3-
b) lim f(x)
x −3+
f(x) =
=
Find the following values. If the limit is infinite, enter infinity or -infinity. If the limit does
not exist and is not infinite, enter DNE.
c) f(-3)
7x + 10,
x² + 22,
22,
if x < -3
if x > -3
if x = -3
Transcribed Image Text:Suppose a) lim f(x) x→-3- b) lim f(x) x −3+ f(x) = = Find the following values. If the limit is infinite, enter infinity or -infinity. If the limit does not exist and is not infinite, enter DNE. c) f(-3) 7x + 10, x² + 22, 22, if x < -3 if x > -3 if x = -3
d) Classify the discontinuity for f(x) at x =
The function is continuous at x = -3 because lim_ƒ(x) = lim_ƒ(x) = ƒ(−3).
Infinite discontinuity
Removable discontinuity
O Jump discontinuity
-3
CHECK ANSWER
x→-3-
x→-3+
Transcribed Image Text:d) Classify the discontinuity for f(x) at x = The function is continuous at x = -3 because lim_ƒ(x) = lim_ƒ(x) = ƒ(−3). Infinite discontinuity Removable discontinuity O Jump discontinuity -3 CHECK ANSWER x→-3- x→-3+
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