3. Explain why lim √2x - 6 does not exist.

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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3. Explain why lim √2x - 6 does not exist.
x-3
4. Consider the function f(x) = 3,
-f₁
a) Evaluate lim f(x) and lim f(x).
x+0+
x-0-
c) Is f(x) continuous at x = 1? Explain.
3
x < 0
0 < x < 1
√x + 2, x ≥1
b) Does lim f(x) exist? Explain.
x-0
Transcribed Image Text:3. Explain why lim √2x - 6 does not exist. x-3 4. Consider the function f(x) = 3, -f₁ a) Evaluate lim f(x) and lim f(x). x+0+ x-0- c) Is f(x) continuous at x = 1? Explain. 3 x < 0 0 < x < 1 √x + 2, x ≥1 b) Does lim f(x) exist? Explain. x-0
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