Given the following limit g(2+ h) - g(2) lim h→0 h which of the following must be true? Select two correct answers. Select all that apply: g(x) is continuous at x = 2. lim g(x) exists. X-6 lim g(x) = 2. x-10 lim g(x) = g(2). X-2 lim g(x) 10 = 10

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
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Given the following limit
g(2+ h) - g(2)
lim
h→0
h
which of the following must be true? Select two correct answers.
Select all that apply:
g(x) is continuous at x = 2.
lim g(x) exists.
x-6
lim g(x) = 2.
x-10
lim g(x) = g(2).
X-2
☐lim g(x) = 10.
→2
= 10
Transcribed Image Text:Question Given the following limit g(2+ h) - g(2) lim h→0 h which of the following must be true? Select two correct answers. Select all that apply: g(x) is continuous at x = 2. lim g(x) exists. x-6 lim g(x) = 2. x-10 lim g(x) = g(2). X-2 ☐lim g(x) = 10. →2 = 10
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