Which of the following describes the least upper bound of a subset of numbers?
Suppose is a subset of real numbers that has an upper bound .
Suppose that is a least upper bound of . Which of the following relations between and must be true?
Suppose is a second least upper bound for . Which of the following relations between and must be true?
Consider the sequence for .
Define and by and . Write in simplified form.
Using the above and the quadratic formula, find the smallest integer so that whenever .