Please help with d and e

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section1.7: Functions
Problem 59PFA
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Please help with d and e
2. Fill in the blank with "all", "no", or "some" to make the following statements true.
If your answer is "all", explain why.
• If your answer is "no", give an example and explain.
• If your answer is "some", give two examples that demonstrate when the statement is
true and when it is false. Explain your examples.
Note: An example must include either a graph or a specific function.
(a) For
functions f and
if lim g(x) = 0, then lim
f(x)
9,
does not exist.
%3D
-a g(x)
(b) For
functions
lim g(x) = 2 and lim g(x) = -2, then lim(g(x))² exists.
9,
if
xa+
(c) For
lim g(x) exists.
functions f and g, if lim f() exists and lim(f(x) + g(x)) exists, then
x2 – 9
(d) For
real values of x, the functions f(x) =
and g(x) = x + 3 are equal.
x - 3
(e) For
real numbers a, lim f(x) = f(a)
1
MacBook Pro
Transcribed Image Text:2. Fill in the blank with "all", "no", or "some" to make the following statements true. If your answer is "all", explain why. • If your answer is "no", give an example and explain. • If your answer is "some", give two examples that demonstrate when the statement is true and when it is false. Explain your examples. Note: An example must include either a graph or a specific function. (a) For functions f and if lim g(x) = 0, then lim f(x) 9, does not exist. %3D -a g(x) (b) For functions lim g(x) = 2 and lim g(x) = -2, then lim(g(x))² exists. 9, if xa+ (c) For lim g(x) exists. functions f and g, if lim f() exists and lim(f(x) + g(x)) exists, then x2 – 9 (d) For real values of x, the functions f(x) = and g(x) = x + 3 are equal. x - 3 (e) For real numbers a, lim f(x) = f(a) 1 MacBook Pro
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