A function f(x) is continuous at an x value of aif and only if the following three conditions are satisfied: (1) f(a) is a defined real number (2) limf(x) is a defined real number (3) f(a) = limx→af (x) A function is discontinuous at an x value of a if it fails to be continuous at an xvalue of a. When x = 1, f(x) is continuous. When x = 1, f(x) is not continuous.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
Problem 30EQ
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Question
-4
cu t
3
N÷
-2
x =
-2
-1
3+
2+
-2 +
-3-
-4.
2
3
Definition for continuous.
4
x = 4
5
A function f(x) is continuous at an x value of aif and
only if the following three conditions are satisfied:
(1) f(a) is a defined real number
(2) limf(x) is a defined real number
= limx→af (x)
(3) f(a) = lim
A function is discontinuous at an x value of a if it fails to
be continuous at an xvalue of a.
When x = : 1, f(x) is continuous.
When x = 1, f(x) is not continuous.
Transcribed Image Text:-4 cu t 3 N÷ -2 x = -2 -1 3+ 2+ -2 + -3- -4. 2 3 Definition for continuous. 4 x = 4 5 A function f(x) is continuous at an x value of aif and only if the following three conditions are satisfied: (1) f(a) is a defined real number (2) limf(x) is a defined real number = limx→af (x) (3) f(a) = lim A function is discontinuous at an x value of a if it fails to be continuous at an xvalue of a. When x = : 1, f(x) is continuous. When x = 1, f(x) is not continuous.
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