Question 21 (x- 1)², x<2 Show that f (x) = { x, 23 x <4 is discontinuous at * = 2. 5 - x, x 2 4 (A) f(2) = 2; lim f (x) =1; then f (2) # lim f (x) X-2 X-2 B f (2) = 1; lim x =1, lim (x-1)2= 1; then f (2) # lim f (x) X- 2- X- 2+ X-2 f (2) = 2; lim (x- 1)² = 1, lim x = 2; then f (2) # lim f (x) X-2- X-2+ X-2 f (2) = 1; lim (x-1)² = 1, lim x = 2; then f (2) # lim f (x) X-2- X-2+ X-2
Question 21 (x- 1)², x<2 Show that f (x) = { x, 23 x <4 is discontinuous at * = 2. 5 - x, x 2 4 (A) f(2) = 2; lim f (x) =1; then f (2) # lim f (x) X-2 X-2 B f (2) = 1; lim x =1, lim (x-1)2= 1; then f (2) # lim f (x) X- 2- X- 2+ X-2 f (2) = 2; lim (x- 1)² = 1, lim x = 2; then f (2) # lim f (x) X-2- X-2+ X-2 f (2) = 1; lim (x-1)² = 1, lim x = 2; then f (2) # lim f (x) X-2- X-2+ X-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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