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I'm afraid I don't understand. What do these brackets〖〗mean? What about d? Is that supposed to be some kind of metric? A specific space? Any space? What do xn and xn+1 mean? Are they supposed to be successive terms of a sequence, or is there some kind of multiplication defined on this space?

If you can answer these questions, I'll be more than happy to try to give you an answer.

a million) 2/(n^2+4n+3) < 2/n^2 for each n a properly in many situations happening effect states that if the nth term of a sequence is !/n^a and a> a million then the sequence is convergent. The above effect , a million), is a assessment try which states that if from some n on, the words of a sequence are all decrease than the words of a convergent sequence then the sequence is likewise convergent.