x-2 13) Consider the function f(x)=x-[x] where [x] is the greatest integer less than or equal to x. For example, [2.4] =2 and [-3.3] =-4. So f(2.4) = 0.4 and f(-3.3) = 0.7. Which of the following is true? a) lim f(x) = 0 x-1 c) lim f(x)=1 x→l b) lim f(x)=1 x→l* d) lim f(x) = 0 x-1
x-2 13) Consider the function f(x)=x-[x] where [x] is the greatest integer less than or equal to x. For example, [2.4] =2 and [-3.3] =-4. So f(2.4) = 0.4 and f(-3.3) = 0.7. Which of the following is true? a) lim f(x) = 0 x-1 c) lim f(x)=1 x→l b) lim f(x)=1 x→l* d) lim f(x) = 0 x-1
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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Question
![x-2
13) Consider the function f(x)=x-[x] where [x] is the greatest integer less than or equal
to x. For example, [2.4] =2 and [-3.3] =-4. So f(2.4) = 0.4 and f(-3.3) = 0.7.
Which of the following is true?
a) lim f(x) = 0
x-1
c) lim f(x)=1
x-1
b) lim f(x)=1
x-1*
d) lim f(x) = 0
x-1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F10b1f275-2c41-4985-b23a-aa3382c0d493%2Ffbb37c12-20a4-4256-b6cb-bd2031d6025b%2Fszvrml_processed.jpeg&w=3840&q=75)
Transcribed Image Text:x-2
13) Consider the function f(x)=x-[x] where [x] is the greatest integer less than or equal
to x. For example, [2.4] =2 and [-3.3] =-4. So f(2.4) = 0.4 and f(-3.3) = 0.7.
Which of the following is true?
a) lim f(x) = 0
x-1
c) lim f(x)=1
x-1
b) lim f(x)=1
x-1*
d) lim f(x) = 0
x-1
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