# Recursive sequence - Convergency and Limit

i just started university so im pretty new to all this new math. My problem is to solve this recursive sequence: $a_{n+1} = a_{n}^3$ with: $a_{0} = \frac{1}{2}$ and: $n \in N$

I've to analyse convergence and if its convergent i've to get the limit of this sequence.

I dont know how to start and this to the power of three confuses me.