4. Let X: +3 if x < -2 if -2

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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4. Let
x+3
if x < -2
if -2<x< 1
h(x) = { x²
-x+2 if r≥1
a) Find the following limits if they exist.
i) lim h(x)
iv) lim h(x)
b) Sketch a graph of h(x)
c) Where is h(x) discontinuous?
ii) lim h(x)
3-4-2'
lim h(x)
v)
iii) lim h(x)
vi) lim h(x)
X-1
Transcribed Image Text:4. Let x+3 if x < -2 if -2<x< 1 h(x) = { x² -x+2 if r≥1 a) Find the following limits if they exist. i) lim h(x) iv) lim h(x) b) Sketch a graph of h(x) c) Where is h(x) discontinuous? ii) lim h(x) 3-4-2' lim h(x) v) iii) lim h(x) vi) lim h(x) X-1
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