LIMITS AND THE GREATEST INTEGER FUNCTION
Flashcard
•
Mathematics
•
12th Grade
•
Practice Problem
•
Hard
+1
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the Greatest Integer Function?
Back
The Greatest Integer Function, denoted as ⌊x⌋, is a function that maps a real number x to the largest integer less than or equal to x.
Tags
CCSS.HSF-IF.C.7B
2.
FLASHCARD QUESTION
Front
What does the notation ⌊x⌋ represent?
Back
The notation ⌊x⌋ represents the Greatest Integer Function, which returns the greatest integer less than or equal to x.
Tags
CCSS.HSF.IF.A.2
3.
FLASHCARD QUESTION
Front
How does the Greatest Integer Function behave at integer values?
Back
At integer values, the Greatest Integer Function returns the integer itself. For example, ⌊3⌋ = 3.
Tags
CCSS.HSF-IF.C.7B
4.
FLASHCARD QUESTION
Front
What is the value of ⌊2.7⌋?
Back
The value of ⌊2.7⌋ is 2, as it is the largest integer less than 2.7.
5.
FLASHCARD QUESTION
Front
What is the value of ⌊-1.5⌋?
Back
The value of ⌊-1.5⌋ is -2, as it is the largest integer less than -1.5.
6.
FLASHCARD QUESTION
Front
What is the limit of the Greatest Integer Function as x approaches an integer from the left?
Back
As x approaches an integer n from the left, the limit of the Greatest Integer Function ⌊x⌋ is n-1.
7.
FLASHCARD QUESTION
Front
What is the limit of the Greatest Integer Function as x approaches an integer from the right?
Back
As x approaches an integer n from the right, the limit of the Greatest Integer Function ⌊x⌋ is n.
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