Assume a and L are finite numbers. Determine whether the statement is true or false. 1. If lim f(x) = L, then f(a) = L. 2. If f(a) = L, then lim f(x) = L. 3. If lim f(x) = L and lim g(x) = L, then f(a) = g(a). %3D f(x) does not exist if g(a) = 0. 4. The limit lim xa (æ)6

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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Assume a and L are finite numbers. Determine whether the statement is
true or false.
1. If lim f(x) = L, then f(a) = L.
2. If f(a) = L, then lim f(x) = L.
xa
3. If lim f(x) = L and lim g(x) = L, then f(a) = g(a).
xa
f(x)
does not exist if g(a) = 0.
g(x)
4. The limit lim
1
[
[ Choose ]
[ Choose ]
[ Choose ]
4
[ Choose ]
<>
2.
3.
Transcribed Image Text:Assume a and L are finite numbers. Determine whether the statement is true or false. 1. If lim f(x) = L, then f(a) = L. 2. If f(a) = L, then lim f(x) = L. xa 3. If lim f(x) = L and lim g(x) = L, then f(a) = g(a). xa f(x) does not exist if g(a) = 0. g(x) 4. The limit lim 1 [ [ Choose ] [ Choose ] [ Choose ] 4 [ Choose ] <> 2. 3.
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