1. Suppose that lim-7g(x) 6 and X->-7 2f (x)4 1, 3g(x) lim x--7 use the limit properties theorems to (a) justify that lim-7 f(x) exists and (b) find the value of lim-7 f(x) :-+-7 Hint: As we discussed in lecture, the limit properties do NOT justify writing 2 lim-7 f(x)lim74 3 limg7g(x) ;->-7y in this instance.

Calculus: Early Transcendentals
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ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Limits

1. Suppose that lim-7g(x) 6 and
X->-7
2f (x)4
1,
3g(x)
lim
x--7
use the limit properties theorems to
(a) justify that lim-7 f(x) exists and
(b) find the value of lim-7 f(x)
:-+-7
Hint: As we discussed in lecture, the limit properties do NOT justify writing
2 lim-7 f(x)lim74
3 limg7g(x)
;->-7y
in this instance.
Transcribed Image Text:1. Suppose that lim-7g(x) 6 and X->-7 2f (x)4 1, 3g(x) lim x--7 use the limit properties theorems to (a) justify that lim-7 f(x) exists and (b) find the value of lim-7 f(x) :-+-7 Hint: As we discussed in lecture, the limit properties do NOT justify writing 2 lim-7 f(x)lim74 3 limg7g(x) ;->-7y in this instance.
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