does the sequence converge or diverge?

Question

oes the sequence  converge or diverge? If the sequence does converge, what number do the terms of the sequence converge to?

Answer 1

The sequence .

 

Now find the value of

 

This is not exist. So, the squence diverges.

Answer 2

The sequence .

Now find the value of .

Dividing numerator and denominator by the term involving the largest power of n.

This is not exist. So, the sequence diverges.