4. Consider the function f(x) = 3, a) Evaluate lim ƒ(x) and lim_ f(x). x-0+ x-0- c) Is f(x) continuous at x = 1? Explain. 3 √x+2, x < 0 0 < x < 1 x≥1 b) Does lim f(x) exist? Explain. x-0

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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Solve the following problem?
4. Consider the function f(x) = 3,
a) Evaluate lim f(x) and lim_ f(x).
c) Is f(x) continuous at x = 1? Explain.
x < 0
0<x< 1
√x + 2, x ≥1
b) Does s lim f(x) exist? Explain.
Transcribed Image Text:4. Consider the function f(x) = 3, a) Evaluate lim f(x) and lim_ f(x). c) Is f(x) continuous at x = 1? Explain. x < 0 0<x< 1 √x + 2, x ≥1 b) Does s lim f(x) exist? Explain.
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