2 cot- (esc") if -3 3. a. Determine if f is continuous or discontinuous at x = 0 and at x = 3. If dis- continuous, classify the type of discontinuity as removable, jump essential, or infinite essential. b. Aside from x = 0 and x = 3, identify all other possible points of disconti- nuity of f on (-3, 0).

Calculus: Early Transcendentals
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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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2 cot- (esc") if -3<x < 0,
f(x) = { [2x – 5] x
sin(2² – 9)
Vx - 3
if 0 <x < 3,
if x > 3.
a. Determine if f is continuous or discontinuous at x = 0 and at x = 3. If dis-
continuous, classify the type of discontinuity as removable, jump essential,
or infinite essential.
b. Aside from x =
0 and x = 3, identify all other possible points of disconti-
nuity of f on (-3, 0).
Transcribed Image Text:2 cot- (esc") if -3<x < 0, f(x) = { [2x – 5] x sin(2² – 9) Vx - 3 if 0 <x < 3, if x > 3. a. Determine if f is continuous or discontinuous at x = 0 and at x = 3. If dis- continuous, classify the type of discontinuity as removable, jump essential, or infinite essential. b. Aside from x = 0 and x = 3, identify all other possible points of disconti- nuity of f on (-3, 0).
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