In formally proving that $\displaystyle \lim_{{{x}\to-{3}}}\ {\left(\frac{{1}}{{9}}{x}-{8}\right)}=-\frac{{25}}{{3}}$, 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