-4 -3 ✓ -2 T -1 √ -7 -6- -5 4 -3- 2 -1- 0 -1- -2- -3- -4- 8 X S 2 3 4 5 6 X 7 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) TRUE or FALSE: Only (3) fails. True Explain your thinking. √ False Share With Class

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Related questions
Question
-4
-3
-2
T
-1
-7
6
-5
4
-3
5
N
-1-
0
--1-
--2-
-3
-4.
1
S
? 3
x = 2
4
+50
6
X
7
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)
TRUE or FALSE: Only (3) fails.
True
Explain your thinking.
√
False
Share With Class
Transcribed Image Text:-4 -3 -2 T -1 -7 6 -5 4 -3 5 N -1- 0 --1- --2- -3 -4. 1 S ? 3 x = 2 4 +50 6 X 7 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) TRUE or FALSE: Only (3) fails. True Explain your thinking. √ False Share With Class
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