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It could be divergent eg 1+1+1+1+...
Or, it could be oscillating eg 1-1+1-1+ ...
So there is no definition for a sequence that is not convergent except non-convergent.
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∙ 13y ago
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Any convergent sequence is a Cauchy sequence is converse true?
no converse is not true
Are lexicographic preferences continuous?
Lexicographic preferences are not continuous because of the decreasing convergent sequence.
What is the formula for the sequence 136101521?
A sequence cannot be defined by one number. At least, not a sequence of any value.
How do you find the nth term of a nonlinear sequence?
If the sequence is non-linear, you need to establish how it is defined.
Does the terms of an arithmetic sequence have a common ratio?
No. An 'arithmetic' sequence is defined as one with a common difference.A sequence with a common ratio is a geometricone.
How do you prove that the sum of a convergent sequence divided by n will converge?
You can use the comparison test. Since the convergent sequence divided by n is less that the convergent sequence, it must converge.
A convergent sequence has a LUB or a what?
JUB
Is every cauchy sequence is convergent?
Every convergent sequence is Cauchy. Every Cauchy sequence in Rk is convergent, but this is not true in general, for example within S= {x:x€R, x>0} the Cauchy sequence (1/n) has no limit in s since 0 is not a member of S.
Examples of bounded and not convergent sequence?
(0,1,0,1,...)
Any convergent sequence is a Cauchy sequence is converse true?
no converse is not true
Is the limit exists for a monotone sequence An?
If a monotone sequence An is convergent, then a limit exists for it. On the other hand, if the sequence is divergent, then a limit does not exist.
What is convergent sequence?
A convergent sequence is an infinite sequence whose terms move ever closer to a finite limit. For any specified allowable margin of error (the absolute difference between each term and the finite limit) a term can be found, after which all succeeding terms in the sequence remain within that margin of error.
Are lexicographic preferences continuous?
Lexicographic preferences are not continuous because of the decreasing convergent sequence.
What is the formula for the sequence 136101521?
A sequence cannot be defined by one number. At least, not a sequence of any value.
Which literary term is defined as stories or events told in the sequence in which they happen?
which literary term is defined as stories or events told in the sequence in which they happen
How do you find the nth term of a nonlinear sequence?
If the sequence is non-linear, you need to establish how it is defined.
Does the terms of an arithmetic sequence have a common ratio?
No. An 'arithmetic' sequence is defined as one with a common difference.A sequence with a common ratio is a geometricone.
