Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN: 9781133382119
Author: Swokowski
Publisher: Cengage
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![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](https://content.bartleby.com/qna-images/question/10b1f275-2c41-4985-b23a-aa3382c0d493/fbb37c12-20a4-4256-b6cb-bd2031d6025b/szvrml_thumbnail.jpeg)
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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