# 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?

• 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?

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?
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 = =
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.
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 ...
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 ...
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 ...
Positive: 31 %

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