1617-257/TUT-R-4

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On 10/6/16, we showed that [math]\displaystyle{ \mathbb R^\infty }[/math] is a metric space where compactness is not equivalent to being closed and bounded. We also showed that [math]\displaystyle{ \mathbb R^\infty }[/math] is not complete with respect to the norm we gave it.


We also approximated the values of [math]\displaystyle{ \sqrt{4.002} }[/math] and [math]\displaystyle{ 2^{4.002} }[/math] with first order derivatives.