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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 48E
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
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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