In formally proving that $\displaystyle \lim_{{{x}\to{6}}}\ {\left({x}^{{2}}-{12}{x}\right)}=-{36}$, let $\displaystyle \epsilon>{0}$ be arbitrary. Determine $\displaystyle \delta$ as a function of $\displaystyle \epsilon$.

Note: in this case $\displaystyle \delta$ will be a function of $\displaystyle \epsilon$. You will need to write the word epsilon for$\displaystyle \ \epsilon\$ in the answerbox


$\displaystyle \delta=$ Preview Question 6