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.

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We also approximated the values of ${\sqrt {4.002}}$ and $2^{4.002}$ with first order derivatives.