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If lim f(x) and lim f(x) exist but are not equal, then x = c is a(n) jump discontinuity. X-C- XC+ If one or both of lim f(x) and lim f(x) is infinite, then x = c is a(n) removablex discontinuity even if f(x) itself is X-C- X- C+ not defined at x = c. 3 To determine the type of discontinuity at x = 3 find the one-sided limits as x approaches 2 x + 1 lim x- 3/2 - 6x - 9 X + 1 lim X3/2 + 6x - 9 State the type of discontinuity at x = infinite O removable jump none of these

If lim f(x) and lim f(x) exist but are not equal, then x = c is a(n) jump discontinuity. X-C- XC+ If one or both of lim f(x) and lim f(x) is infinite, then x = c is a(n) removablex discontinuity even if f(x) itself is X-C- X- C+ not defined at x = c. 3 To determine the type of discontinuity at x = 3 find the one-sided limits as x approaches 2 x + 1 lim x- 3/2 - 6x - 9 X + 1 lim X3/2 + 6x - 9 State the type of discontinuity at x = infinite O removable jump none of these

Calculus: Early Transcendentals
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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Recall the possible types of discontinuities. If lim f(x) exists but is not equal to f(c), then x = c is a(n) removable discontinuity. If lim f(x) and lim f(x) exist but are not equal, then x = c is a(n) jump discontinuity. XC- XC+ If one or both of lim f(x) and lim f(x) is infinite, then x = c is a(n) removable discontinuity even if f(x) itself is X-C- X- C+ not defined at x = c. 3 find the one-sided limits as x approaches 3 To determine the type of discontinuity at x = х+ 1 lim х—3/2 — бх — 9 x + 1 lim X- 3/2 + 6x – 9 3 State the type of discontinuity at x = infinite O removable jump O none of these O O O
Transcribed Image Text:Recall the possible types of discontinuities. If lim f(x) exists but is not equal to f(c), then x = c is a(n) removable discontinuity. If lim f(x) and lim f(x) exist but are not equal, then x = c is a(n) jump discontinuity. XC- XC+ If one or both of lim f(x) and lim f(x) is infinite, then x = c is a(n) removable discontinuity even if f(x) itself is X-C- X- C+ not defined at x = c. 3 find the one-sided limits as x approaches 3 To determine the type of discontinuity at x = х+ 1 lim х—3/2 — бх — 9 x + 1 lim X- 3/2 + 6x – 9 3 State the type of discontinuity at x = infinite O removable jump O none of these O O O
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