44. Does the Limit Exist? Let if x<0 h(x) = {x if 0 2 (a) Evaluate each limit if it exists. (i) lim h(x) (iv) lim h(x) (ii) lim h(x) (v) lim h(x) 0 (iii) lim h(x) (vi) lim h(x) (b) Sketch the graph of h.

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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44. Does the Limit Exist? Let
if x<0
h(x) = {x
if 0<xs2
8 - x if x> 2
(a) Evaluate each limit if it exists.
(i) lim h(x)
(iv) lim h(x)
(ii) lim h(x)
(v) lim h(x)
0
(iii) lim h(x)
(vi) lim h(x)
(b) Sketch the graph of h.
Transcribed Image Text:44. Does the Limit Exist? Let if x<0 h(x) = {x if 0<xs2 8 - x if x> 2 (a) Evaluate each limit if it exists. (i) lim h(x) (iv) lim h(x) (ii) lim h(x) (v) lim h(x) 0 (iii) lim h(x) (vi) lim h(x) (b) Sketch the graph of h.
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