3. True False. If false create functions that prove it is false. Note: f(x) = g(x).a) If_lim ƒ(x) = ∞ and_lim g(x) = ∞,then_lim [ƒ(x) − g(x)] = 0x→ 0+x→0+x→0+b) If h(x) and g(x) are continuous at x = c, and if h(c) > 0 and g(c) = 0, thenh(x)lim. will =x→c g(x)c) If lim f(x) = 0 and lim g(x) = 0 then limf(x)does not exist.x-ax-ax→a g(x)

Answered: 3. True False. If false create…

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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Create a function / equation that represents each of the following scenarios:i) A function where: lim x-->a f(x) = exists, f(a) = defined, but f(a) = lim x--> a f(x) ii) A function where lim x--> a f(x) = exists, f(a) = undefined iii) A function where lim x--> a f(x) = DNE, f(a) = undefined Then, for each, find the limit from the left, right, and total.
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3. Sketch a graph of a function y = f(x) that satisfies all of the following (if possible): a. lim f(x) = 1 x-0- b. lim f(x) = -1 c. lim f(x) = 0 x-3 d. f(3) does not exist e. f'(-1) = 2 10 -10 10 -1아
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