1. The diagram below shows the function f(x) drawn to scale. 10 4 -3 c) lim f(x) d) lim f(x) -2 -1 answer. 8 6 4 2 B -2 -4 -O -6 -8 Determine the following using the above diagram: 1 -1 3 + 5 e) Does the limit as x tends to 3 exist? Give reasons for your answer. f) What needs to happen for the lim f(x) to exist? X-2 g) Is the function f(x) continuous throughout its domain? Give reasons for your 6 1 I I

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
Section3.1: Limits
Problem 77E
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1. The diagram below shows the function f(x) drawn to scale.
10
8
6
4
-3
c) lim f(x)
d) lim f(x)
-2
-1
answer.
4
2
B
-2
-4
-6
-O
-8
Determine the following using the above diagram:
1
-1
3
+
5
e) Does the limit as x tends to 3 exist? Give reasons for your answer.
f) What needs to happen for the lim f(x) to exist?
X-2
g) Is the function f(x) continuous throughout its domain? Give reasons for your
6
1
i
1
Transcribed Image Text:1. The diagram below shows the function f(x) drawn to scale. 10 8 6 4 -3 c) lim f(x) d) lim f(x) -2 -1 answer. 4 2 B -2 -4 -6 -O -8 Determine the following using the above diagram: 1 -1 3 + 5 e) Does the limit as x tends to 3 exist? Give reasons for your answer. f) What needs to happen for the lim f(x) to exist? X-2 g) Is the function f(x) continuous throughout its domain? Give reasons for your 6 1 i 1
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