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

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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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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