# Homework Help: Convergence of a sequence

1. Apr 25, 2012

### trap101

State whether the sequence converges and if so, find the limit

(n+1)1/2/2(n)1/2

ok so I got that it converges to 1/2, my question more so lies in the fact that why are we able to factor out a (n)1/2 from the term in the numerator? Isn't it only the denominator that we are concerned about when it comes to powers? or is it because the denominator is technically "factored" already?

2. Apr 25, 2012

### Staff: Mentor

No, you also need to look at the numerator.

3. Apr 25, 2012

ok. thanks