Suppose f(x) has a removable discontinuity at x=10. How do we redefine the function to make it continuous?

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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Suppose f(x) has a removable discontinuity at x=10. How do we redefine the function to make it continuous? Let F(x) be the redefined function.

choices are given bellow

a.
b.
C.
d.
F(x) =
F(x)
F(x) =
=
=
=
F(x) =
=
[ f(x), x = 10
lim f(x), x 10
x 10
[ f(x), x = 10
f(10), x 10
[ f(x), x ‡ 10
lim f(x), x = 10
x 10
[ f(x), x ‡ 10
f(10), x = 10
Transcribed Image Text:a. b. C. d. F(x) = F(x) F(x) = = = = F(x) = = [ f(x), x = 10 lim f(x), x 10 x 10 [ f(x), x = 10 f(10), x 10 [ f(x), x ‡ 10 lim f(x), x = 10 x 10 [ f(x), x ‡ 10 f(10), x = 10
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