# 1617-257/TUT-R-4

On 10/6/16, we showed that $\mathbb R^\infty$ is a metric space where compactness is not equivalent to being closed and bounded. We also showed that $\mathbb R^\infty$ is not complete with respect to the norm we gave it.
We also approximated the values of $\sqrt{4.002}$ and $2^{4.002}$ with first order derivatives.