Let f(x) be a function and let a be a real number. Determine if the statement is always “True”; otherwise, choose “False” if the statement is false. a. If f(a) is undefined, then lim f(x) does not exist. x→a b. If lim f(x) =2, then f(a) =2. x→a c. If lim f(x) = ∞, then lim f(x) does not exist. x→a x→a d. If lim f(x) ≠ lim f(x), then lim f(x) does not exist. x→a x→a x→a
Let f(x) be a function and let a be a real number. Determine if the statement is always “True”; otherwise, choose “False” if the statement is false. a. If f(a) is undefined, then lim f(x) does not exist. x→a b. If lim f(x) =2, then f(a) =2. x→a c. If lim f(x) = ∞, then lim f(x) does not exist. x→a x→a d. If lim f(x) ≠ lim f(x), then lim f(x) does not exist. x→a x→a x→a
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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Question
Let f(x) be a function and let a be a real number. Determine if the statement is always “True”; otherwise, choose “False” if the statement is false.
a. If f(a) is undefined, then lim f(x) does not exist.
x→a
b. If lim f(x) =2, then f(a) =2.
x→a
c. If lim f(x) = ∞, then lim f(x) does not exist.
x→a x→a
d. If lim f(x) ≠ lim f(x), then lim f(x) does not exist.
x→a x→a x→a
![10. Let f(x) be a function and let a be a real number. Determine if the statement is always true "True";
otherwise, choose "False" if the statement is false.
a. If f (a) is undefined, then lim f(x) does not exist.
Xa
b. If lim f(x) =2, then f(a) =2.
X-a
c. If lim f(x) = 00, then lim f(x) does not exist.
X-a
Xa
d. If lim f(x) + lim f(x), then lim f(x) does not exist.
X-a
Xa
X-a](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd2a54357-9275-4e1b-9c5f-e12a73a994b6%2F0e110255-ec83-4362-9d52-579fea2f2d96%2Fju4dq2p_processed.jpeg&w=3840&q=75)
Transcribed Image Text:10. Let f(x) be a function and let a be a real number. Determine if the statement is always true "True";
otherwise, choose "False" if the statement is false.
a. If f (a) is undefined, then lim f(x) does not exist.
Xa
b. If lim f(x) =2, then f(a) =2.
X-a
c. If lim f(x) = 00, then lim f(x) does not exist.
X-a
Xa
d. If lim f(x) + lim f(x), then lim f(x) does not exist.
X-a
Xa
X-a
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