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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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
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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