Evaluate ${\lim }_{x\to -3}\frac{x^3+27}{x+3}$.

Evaluate ${\lim }_{x\to 4}\frac{x^3-64}{x-4}$.

Evaluate ${\lim }_{x\to 10}\frac{x^2-100}{x-10}$.

Evaluate ${\lim }_{x\to -4}\frac{x^2+5x+4}{x^2+10x+24}$.

Evaluate ${\lim }_{x\to 2}\left(5x^2+3x+4\right)$.

Evaluate ${\lim }_{x\to 4}\frac{\sqrt{x+32}}{x+3}$.

Evaluate ${\lim }_{x\to 3}\left(3x^2+8x-1\right)$.

Evaluate ${\lim }_{x\to 4}\left(3x^2+2x+1\right)$.

Evaluate ${\lim }_{x\to 5^{-}}\frac{x-8}{x-5}$.

Evaluate ${\lim }_{x\to -2}\left(2x^2-3x-4\right)$.

Evaluate ${\lim }_{x\to 8}\frac{\sqrt{x+41}}{x-6}$.

Evaluate ${\lim }_{x\to 5}\frac{x^3-125}{x-5}$.

Evaluate ${\lim }_{x\to 2}\frac{\sqrt{x+14}}{x+3}$.

Evaluate ${\lim }_{x\to -3}\frac{x^2-9}{x+3}$.

Evaluate ${\lim }_{x\to 0}\frac{{\left(-3+x\right)}^2-9}{x}$.

Evaluate ${\lim }_{x\to -2}\left(5x^2-5x+5\right)$.

Evaluate ${\lim }_{x\to -3}\frac{x^2+8x+15}{x^2-9}$.

Evaluate ${\lim }_{x\to -4}\frac{x+3}{x+4}$.

Evaluate ${\lim }_{x\to -3}\frac{x^2-3x-18}{x^2+4x+3}$.

Evaluate ${\lim }_{x\to -9}\frac{x^2-81}{x+9}$.

Evaluate ${\lim }_{x\to 6}\frac{x^2-10x+24}{x^2-8x+12}$.

Evaluate ${\lim }_{x\to -2}\frac{x^2-4}{x+2}$.

Evaluate ${\lim }_{x\to 9}\frac{\sqrt{x+72}}{x-3}$.

A student writes ${\lim }_{x\to -5}\frac{x^2+11x+30}{x+5}=\frac{0}{0}=0$. What is wrong with the work?

Evaluate ${\lim }_{x\to 0}\frac{{\left(6+x\right)}^2-36}{x}$.

A student writes ${\lim }_{x\to -5}\frac{x^2+7x+10}{x+5}=\frac{0}{0}=0$. What is wrong with the work?

Evaluate ${\lim }_{x\to 0}\frac{{\left(-2+x\right)}^2-4}{x}$.

Evaluate ${\lim }_{x\to 1}\left(6x^2-5x-3\right)$.

Evaluate ${\lim }_{x\to -4}\frac{x^2-x-20}{x^2+3x-4}$.

A student writes ${\lim }_{x\to -1}\frac{x^2-4x-5}{x+1}=\frac{0}{0}=0$. What is wrong with the work?

Evaluate ${\lim }_{x\to 7}\frac{x^2-49}{x^2-2x-35}$.

Evaluate ${\lim }_{x\to -5}\frac{x^2+11x+30}{x^2+4x-5}$.

Evaluate ${\lim }_{x\to 7}\frac{\sqrt{x-3}}{x+2}$.

Evaluate ${\lim }_{x\to 5^{+}}\frac{x+3}{x-5}$.

Evaluate ${\lim }_{x\to 5}\frac{x-6}{x-5}$.

Evaluate ${\lim }_{x\to -1}\frac{x^2-1}{x+1}$.

Evaluate ${\lim }_{x\to 3^{+}}\frac{x+7}{x-3}$.

Evaluate ${\lim }_{x\to 1}\left(6x^2-2x+3\right)$.

Evaluate ${\lim }_{x\to 2}\frac{x^2-5x+6}{x^2+4x-12}$.

Evaluate ${\lim }_{x\to -6}\frac{x^2+5x-6}{x^2+x-30}$.