Finding Upper and Lower Bounds

Question

Find Upper and Lower Bounds of $\{\frac{m}{2^n}:m,n \in \mathbb{N}\}$.
Due to the definition $n$ can be constant and $m$ can grow and vice versa, so if $n=1$ and $m\rightarrow\infty$ the upper bound is $\infty$.
Now if $m=1$ and $n\rightarrow \infty$ the lower bound is $0$ Am I right?

Answer 1

Yes. Both bounds are right. ..