please choose the right answer just if you know? True/False Section Sequences an

Question

please choose the right answer just if you know?

True/False Section Sequences and Series Mark each question either T or F. True in mathematics means always true (not just sometimes true and sometimes false). If {ak} is convergent, then it has only one limit. That is, ak L1 and ak L2 implies = L1 = L2. If {ak} is convergent to L, then each subsequence of {ak} converges also to (the same) L. {ak} is convergent if and only if given any > 0 (however small), there is number N such that m N, n N implies |am- an|

Explanation / Answer

1) True

2)True

3) True

4) False

5) False

for the last problem:

Let the series be {an} = 1/n

summation of the series is NOT convergent, however, the limit {an} as n tends to infinity is ZERO.

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