Explain why lim F(x) in Figure A exists, but lim f(x) in Figure B does not. X2 X→-2 Figure A Figure B AF(X) 2

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.2: Continuity
Problem 32E
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Explain why lim F(x) in Figure A exists, but lim f(x) in Figure B does not.
X→2
X-2
Figure A
Figure B
AF(X)
Af(X)
-2-
Fill in the blanks below.
lim F(x), lim F(x)
X 2
Since lim F(x)
X→2
X→2*
Since lim f(x)
lim f(x), lim f(x)
X-2
x→-2*
X- 2
Transcribed Image Text:Explain why lim F(x) in Figure A exists, but lim f(x) in Figure B does not. X→2 X-2 Figure A Figure B AF(X) Af(X) -2- Fill in the blanks below. lim F(x), lim F(x) X 2 Since lim F(x) X→2 X→2* Since lim f(x) lim f(x), lim f(x) X-2 x→-2* X- 2
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