I have the sequence an=(n3)(34)n
and I need to find whether it converges or not and the limit.
I took the common ratio which is 3(n+1)34n3 and since |34|<1 it converges.
I don't know how to find the limit from here.
Answer
If an+1an→l with |l|<1 then an→0. (In fact the series ∑an converges).
In this case an+1an=(1+1n)3(34)→34.
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