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?
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Hi i attached the 1 hw picture please answer.
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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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