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1. The diagram below shows the function f(x) drawn to scale. 10 4 -3 -2 4 2 -2 -6 1 Determine the following using the above diagram: a) What do the broken lines in the diagram above represent? b) What do the unshaded circles in the diagram above represent? c) lim f(x) d) lim f(x) 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? g) Is the function f(x) continuous throughout its domain? Give reasons for your answer.

1. The diagram below shows the function f(x) drawn to scale. 10 4 -3 -2 4 2 -2 -6 1 Determine the following using the above diagram: a) What do the broken lines in the diagram above represent? b) What do the unshaded circles in the diagram above represent? c) lim f(x) d) lim f(x) 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? g) Is the function f(x) continuous throughout its domain? Give reasons for your answer.

Calculus For The Life Sciences
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 78E
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1. The diagram below shows the function f(x) drawn to scale. 10 4 -3 -2 answer. D I -1 8 6 4 2 -2 -4 -6 0 1 I 3 5 -8 Determine the following using the above diagram: a) What do the broken lines in the diagram above represent? b) What do the unshaded circles in the diagram above represent? c) lim f (x) d) lim f(x) 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
Transcribed Image Text:1. The diagram below shows the function f(x) drawn to scale. 10 4 -3 -2 answer. D I -1 8 6 4 2 -2 -4 -6 0 1 I 3 5 -8 Determine the following using the above diagram: a) What do the broken lines in the diagram above represent? b) What do the unshaded circles in the diagram above represent? c) lim f (x) d) lim f(x) 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
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