Determine whether the following function is continuous at a. Use the continuity checklist to justify your answer. f(x)=√x-5; a=2

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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K
Determine whether the following function is continuous at a. Use the continuity checklist to justify your answer.
f(x)=√x-5; a= 2
Select all that apply.
A. The function is continuous at a = 2.
B. The function is not continuous at a = 2 because f(2) is undefined.
C. The function is not continuous at a = 2 because lim f(x) does not exist.
X→2
D. The function is not continuous at a = 2 because lim f(x)#f(2).
X→2
Transcribed Image Text:K Determine whether the following function is continuous at a. Use the continuity checklist to justify your answer. f(x)=√x-5; a= 2 Select all that apply. A. The function is continuous at a = 2. B. The function is not continuous at a = 2 because f(2) is undefined. C. The function is not continuous at a = 2 because lim f(x) does not exist. X→2 D. The function is not continuous at a = 2 because lim f(x)#f(2). X→2
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