In formally proving that $\displaystyle \lim_{{{x}\to{6}}}\ {\left({x}^{{2}}+{x}\right)}={42}$, let $\displaystyle \epsilon>{0}$ be arbitrary. Choose $\displaystyle \delta\ =\$min$\displaystyle {\left(\frac{\epsilon}{{m}}\ ,\ {1}\right)}$. Determine the smallest value of $\displaystyle {m}$ that would satisfy the proof.

$\displaystyle {m}=\$