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L lim f) exists Jim fo) - fla) A function is discontinuous at a point a if it fails to be continuous at a. 1. Determine which of the three above conditions are not met so that the functions below are discontinuous at the given point. Note: it could be more than one of the conditions. x+1 a. f(x) = is discontinuous at 1, why? if x=1 [e if x<0 b. f(x) = if x20 is discontinuous at 0, why? (cos if x<0 c f(x) = 0 if x=0 is discontinuous at 0, why?

L lim f) exists Jim fo) - fla) A function is discontinuous at a point a if it fails to be continuous at a. 1. Determine which of the three above conditions are not met so that the functions below are discontinuous at the given point. Note: it could be more than one of the conditions. x+1 a. f(x) = is discontinuous at 1, why? if x=1 [e if x<0 b. f(x) = if x20 is discontinuous at 0, why? (cos if x<0 c f(x) = 0 if x=0 is discontinuous at 0, why?

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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Hi i attached the  1 hw picture please answer. 

Page of 2 Definition A function f(x) is contimuous at a point a if and only if the following three conditions are satisfied: i S(a) is defined L Jim f) exists L Jim fx) - S(a) A function is discontinuous at a point a if it fails to be continuous at a. 1. Determine which of the three above conditions are not met so that the functions below are discontinuous at the given point. Note: it could be more than one of the conditions. if x*1 a. f(x) = 1 is discontinuous at 1, why? if x=1 b. f(x) = (e if x<0 if x20 is discontinuous at 0, why? if x<0 if x=0 is discontinuous at 0, why? -x if x> 0 (cosx c. f(x) =0
Transcribed Image Text:Page of 2 Definition A function f(x) is contimuous at a point a if and only if the following three conditions are satisfied: i S(a) is defined L Jim f) exists L Jim fx) - S(a) A function is discontinuous at a point a if it fails to be continuous at a. 1. Determine which of the three above conditions are not met so that the functions below are discontinuous at the given point. Note: it could be more than one of the conditions. if x*1 a. f(x) = 1 is discontinuous at 1, why? if x=1 b. f(x) = (e if x<0 if x20 is discontinuous at 0, why? if x<0 if x=0 is discontinuous at 0, why? -x if x> 0 (cosx c. f(x) =0
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