Suppose is a sequence of real numbers such that for each natural number Which of these statements are true?
A. If then
B.
Suppose is a sequence of real numbers such that and for each natural number Which of these statements are true?
A. If then
B.
Suppose is a sequence of real numbers such that for each natural number Which of these statements are true?
A. is bounded.
B. is monotone.
C. converges.
Definitions. A sequence of real number is:
bounded if there is a real number such that for all
monotone if for all or for all
convergent if there is a number such that for every there is a natural number satisfying
Suppose is a sequence of real numbers such that and for each natural number Which of these statements are true?
A. is bounded.
B. is monotone.
C. converges.
Definitions. A sequence of real number is:
bounded if there is a real number such that for all
monotone if for all or for all
convergent if there is a number such that for every there is a natural number satisfying
Which of these statements are true?
A. Every bounded, monotone sequence of real numbers converges
B. Every bounded sequence of real numbers converges
C. Every monotone sequence of real numbers converges
Definitions. A sequence of real number is:
bounded if there is a real number such that for all
monotone if for all or for all
convergent if there is a number such that for every there is a natural number satisfying