FIND THE ANSWERS

State true or false and why? 1) If a sequence is not bounded it is not cauchy 2)A bounded sequence that is not monotone does not converge?

Answer this question

Do you know the correct answer? Make money answering questions! Join now.
  • State true or false and why? 1) If a sequence is not bounded it is not cauchy 2)A bounded sequence that is not monotone does not converge?


Answers

State true or false and why? 1) If a sequence is not bounded it is not cauchy 2)A bounded sequence that is not ... that is not monotone does not converge?
Read more
Positive: 73 %
Theorem 357 Every Cauchy sequence is bounded. ... which does not converge in Q. ... gis a nested sequence of closed = 1 2 n ::: n a a = (a n. a = =
Read more
Positive: 70 %

More resources

... We suppose that PD#1 is true, and that PD#2 is false. ... (x n)=0, and the sequence (0) does not converge to 1. ... 1 A Cauchy sequence is bounded.
Read more
Positive: 73 %
Some analysis questions to motivate vacation revision. ... 1. True or false: ... (iii) If the sequence (a n) does not tend to infinity then there is a ...
Read more
Positive: 68 %
... Convergence Tests ... The n th partial sum of the series a n is given by S n = a 1 + a 2 + a 3 + ... + a n. If the sequence ... If the sequence {a n ...
Read more
Positive: 54 %
Chapter 2 Tutorial sheets 2.1. ... Mark the following statements as True/False: (1) ... 3.Show that the following sequences are not convergent : (i) f n2 ...
Read more
Positive: 31 %

Show more results