Question

Determine whether the following sequence converge or diverge. Find the limit if it converges.

Answer 1

\[n \ln (n-2/n)\]

Answer 2

Is the limit 0, since the natural log part is a common limit?

Answer 3

http://www.wolframalpha.com/input/?i=lim+nln%28n%E2%88%922%2Fn%29

Answer 4

Just to clarify, if a sequence has a limit, it is therefore convergent?

Answer 5

if it has a limit at infinty jst we can cosider it con otherwise it 'll be div

Answer 6

so the limit in this problem is infinity and is convergent?