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Questions and Answers
What is the definition of the floor function?
What is the definition of the floor function?
- The smallest integer greater than or equal to a given number
- The largest integer less than or equal to a given number (correct)
- The integer part of a given number
- The fractional part of a given number
Which property characterizes a lower bound of a set of real numbers?
Which property characterizes a lower bound of a set of real numbers?
- Every number in the set is greater than or equal to the lower bound
- The lower bound is the smallest number in the set
- Every number in the set is less than or equal to the lower bound (correct)
- The lower bound is the largest number in the set
What is the definition of a bounded sequence?
What is the definition of a bounded sequence?
- A sequence that has a limit
- A sequence that is strictly increasing
- A sequence that is contained within a finite interval (correct)
- A sequence that is not monotonic
What does the continuity of a function imply?
What does the continuity of a function imply?
What is the definition of the absolute value of a real number?
What is the definition of the absolute value of a real number?
What is the definition of a bounded function?
What is the definition of a bounded function?
What is the definition of the parity of a function?
What is the definition of the parity of a function?
What characterizes a lower bound of a set of real numbers?
What characterizes a lower bound of a set of real numbers?
What is the definition of a periodic function?
What is the definition of a periodic function?
What does the continuity of a function imply?
What does the continuity of a function imply?
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