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Select the three reasons for the non-existence of lim,>c f (x). lim, c f (x) = 5 x→c lim, »c- f (x) =±∞ and/or lim>c+ ƒ (x) = ±x∞ || x→c¯ x→c lim, e- f (x) # lim, »e+ f (x) x→c¯ x→c+ As x → c, the values of f oscillate (so they don't approach any real number). f (x) is undefined at x = a, so the lima f (x) does not exist. c→a

Select the three reasons for the non-existence of lim,>c f (x). lim, c f (x) = 5 x→c lim, »c- f (x) =±∞ and/or lim>c+ ƒ (x) = ±x∞ || x→c¯ x→c lim, e- f (x) # lim, »e+ f (x) x→c¯ x→c+ As x → c, the values of f oscillate (so they don't approach any real number). f (x) is undefined at x = a, so the lima f (x) does not exist. c→a

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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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Select the three reasons for the non-existence of lim->c f (x). lim, c f (x) = 5 x→c lim,->c- f (x) =±∞ and/or limp→c+ ƒ (x) = ±∞ %3D x→c¯ lim, e- f (x) # lim,pe+ f (x) x→c¯ As x → c, the values of f oscillate (so they don't approach any real number). f (x) is undefined at x = a, so the lim,a f (x) does not exist.
Transcribed Image Text:Select the three reasons for the non-existence of lim->c f (x). lim, c f (x) = 5 x→c lim,->c- f (x) =±∞ and/or limp→c+ ƒ (x) = ±∞ %3D x→c¯ lim, e- f (x) # lim,pe+ f (x) x→c¯ As x → c, the values of f oscillate (so they don't approach any real number). f (x) is undefined at x = a, so the lim,a f (x) does not exist.
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