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Every limit as x → o can be expressed alternatively as a one-sided limit as t → 0*, where t = x-1. Setting g(t) = f(t-), we have lim f(x) = lim g(t) X00 3x2 Show that lim 3 -t , and evaluate using the Quotient lim t-0+ 2+ 5t2 %3D x-00 2x2 +5 Law.

Every limit as x → o can be expressed alternatively as a one-sided limit as t → 0*, where t = x-1. Setting g(t) = f(t-), we have lim f(x) = lim g(t) X00 3x2 Show that lim 3 -t , and evaluate using the Quotient lim t-0+ 2+ 5t2 %3D x-00 2x2 +5 Law.

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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Every limit as x → o can be expressed alternatively as a one-sided limit as t → 0*, where t = x-1. Setting g(t) = f(t-), we have lim f(x) = lim g(t) X00 3x2 Show that lim 3 -t , and evaluate using the Quotient lim t-0+ 2+ 5t2 %3D x-00 2x2 +5 Law.
Transcribed Image Text:Every limit as x → o can be expressed alternatively as a one-sided limit as t → 0*, where t = x-1. Setting g(t) = f(t-), we have lim f(x) = lim g(t) X00 3x2 Show that lim 3 -t , and evaluate using the Quotient lim t-0+ 2+ 5t2 %3D x-00 2x2 +5 Law.
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