Discuss whether the following functions are continuous at the specified point (s).sin(x)(a) f(x):=at x = 0.x(b) f(x) = x at x = (-1, 1).(c) f(x):x + x|2x,(d) f(x) ==(at x = 0)1-x,-at x = (-1, 1).x= 1 / 20otherwise.—,n € Z\{0},

a.the function is not defined at x=0. The function has right hand and left-hand limits same and…

Answered: (a) f(x) = sin(x) X at x = 0.

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(a) f(x) = sin(x) X at x = 0.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...

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Question

Discuss whether the following functions are continuous at the specified point (s).
sin(x)
(a) f(x):
=
at x = 0.
x
(b) f(x) = x at x = (-1, 1).
(c) f(x):
x + x|
2
x,
(d) f(x) =
=
(at x = 0)
1-x,
-
at x = (-1, 1).
x
= 1 / 20
otherwise.
—,n € Z\{0},

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