Explain why the function is discontinuous at the given number a. (Select all that apply.) (2x² – 7x – 4 if x + 4 f(x) = - X - 4 if x = 4 lim, f(x) and lim f(x) are finite, but are not equal. X4+ X-4 O (4) is undefined. f(4) and lim f(x) are finite, but are not equal. X4 lim f(x) does not exist. X4 O none of the above O O O 00
Explain why the function is discontinuous at the given number a. (Select all that apply.) (2x² – 7x – 4 if x + 4 f(x) = - X - 4 if x = 4 lim, f(x) and lim f(x) are finite, but are not equal. X4+ X-4 O (4) is undefined. f(4) and lim f(x) are finite, but are not equal. X4 lim f(x) does not exist. X4 O none of the above O O O 00
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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Question
Transcribed Image Text:Explain why the function is discontinuous at the given number a. (Select all that apply.)
2x2
7x – 4
if x + 4
f(x)
X - 4
a = 4
8.
if x = 4
lim
f(x) and
lim
f(x) are finite, but are not equal.
X→4+
X→4
O f(4) is undefined.
f(4) and lim f(x) are finite, but are not equal.
X→4
lim f(x) does not exist.
X→4
none of the above
Sketch the graph of the function.
y
y
y
12
12-
12
10
10
10
8
8.
8
6.
6.
6.
4
4
2
2
4
8
10
12
2
4
8
10
12
4
8
10
12
C
y
12
10
2.
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