Let f(x) = = (i) lim f(x) = x→3- (ii) lim f(x) = = x→3+ (iii) f(3) = = 1 + x, (a) Evaluate each of the following. 17 x, if x < 3 if x ≥ 3 11 (b) Is the function f(x) continuous at x = 3? ? Note: Input DNE, infinity, and -infinity for does not exist, ∞, and -∞, respectively. ◆

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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Let
(a) Evaluate each of the following.
1 + x,
f(x) = 17- x₂
x,
(i) lim f(x) =
=
x→3-
(ii) lim f(x) =
=
x→3+
(iii) f(3)
=
if x < 3
if x > 3
11
(b) Is the function f(x) continuous at x = 3? ? ↑
Note: Input DNE, infinity, and -infinity for does not
exist, ∞, and -∞, respectively.
Transcribed Image Text:Let (a) Evaluate each of the following. 1 + x, f(x) = 17- x₂ x, (i) lim f(x) = = x→3- (ii) lim f(x) = = x→3+ (iii) f(3) = if x < 3 if x > 3 11 (b) Is the function f(x) continuous at x = 3? ? ↑ Note: Input DNE, infinity, and -infinity for does not exist, ∞, and -∞, respectively.
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