Explain why the function is discontinuous at the given number a. (Select all that apply.) f(x) = 1 x + 3 a = −3 lim x→−3 f(x) does not exist. f(−3) and lim x→−3 f(x) are finite, but are not equal. lim x→−3+ f(x) and lim x→−3− f(x) are not finite, and are not equal. f(−3) is undefined. none of the above Sketch the graph of the function.
Explain why the function is discontinuous at the given number a. (Select all that apply.) f(x) = 1 x + 3 a = −3 lim x→−3 f(x) does not exist. f(−3) and lim x→−3 f(x) are finite, but are not equal. lim x→−3+ f(x) and lim x→−3− f(x) are not finite, and are not equal. f(−3) is undefined. none of the above Sketch the graph of the function.
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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Explain why the function is discontinuous at the given number a. (Select all that apply.)
f(x) =
| 1 |
| x + 3 |
a = −3
lim x→−3 f(x) does not exist.
f(−3) and lim x→−3 f(x) are finite, but are not equal.
lim x→−3+ f(x) and lim x→−3− f(x) are not finite, and are not equal.
f(−3) is undefined.
none of the above
Sketch the graph of the function.
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