What does direct substitution give for ${\lim }_{x\to 8}\frac{x^2-5x-14}{x^2-49}$, and what follows from it?

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

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

What does direct substitution give for ${\lim }_{x\to -4}\frac{x^2+3x-10}{x^2-25}$, and what follows from it?

What does direct substitution give for ${\lim }_{x\to 7}\frac{x^2-10x+24}{x^2-36}$, and what follows from it?

Evaluate ${\lim }_{x\to 6}\frac{x^2-3x-18}{x-6}$.

Evaluate ${\lim }_{x\to 0}\frac{\sqrt{x+25}-5}{x}$.

Evaluate ${\lim }_{h\to 0}\frac{\frac{1}{3+h}-\frac{1}{3}}{h}$.

Evaluate ${\lim }_{x\to \infty }\frac{-8x^2-4x}{-2x^2-3}$.

Evaluate ${\lim }_{x\to -4}\left(-3x^2-3x+6\right)$.

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

Evaluate ${\lim }_{x\to 7}\frac{x^2-x-42}{x-7}$.

What does direct substitution give for ${\lim }_{x\to -5}\frac{x^2-x-30}{x^2-25}$, and what follows from it?

Evaluate ${\lim }_{h\to 0}\frac{\frac{1}{7+h}-\frac{1}{7}}{h}$.

Evaluate ${\lim }_{x\to 8}\frac{x^2-x-56}{x-8}$.

Evaluate ${\lim }_{x\to -3}\left(-4x^2+6x-4\right)$.

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

Evaluate ${\lim }_{x\to 8}\frac{x^2-13x+40}{x-8}$.

Evaluate ${\lim }_{x\to -7}\frac{x^2-x-56}{x+7}$.

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

Evaluate ${\lim }_{x\to \infty }\frac{3x^2+2x}{8x^2+4}$.

Evaluate ${\lim }_{h\to 0}\frac{\frac{1}{-6+h}-\frac{1}{-6}}{h}$.

Evaluate ${\lim }_{x\to 0}\frac{\sqrt{x+144}-12}{x}$.

Evaluate ${\lim }_{x\to -1}\left(4x^2-3x-5\right)$.

Evaluate ${\lim }_{x\to \infty }\frac{6x^2+3x}{-8x^2-1}$.

Evaluate ${\lim }_{x\to -4}\frac{x^2+12x+32}{x+4}$.

Evaluate ${\lim }_{x\to 0}\frac{\sqrt{x+16}-4}{x}$.

What does direct substitution give for ${\lim }_{x\to -2}\frac{x^2-7x+10}{x^2-4}$, and what follows from it?

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

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

Evaluate ${\lim }_{x\to -4^{-}}\frac{x+1}{x+4}$.

What does direct substitution give for ${\lim }_{x\to 3}\frac{x^2-3x+2}{x^2-4}$, and what follows from it?

What does direct substitution give for ${\lim }_{x\to 7}\frac{x^2-11x+28}{x^2-49}$, and what follows from it?

Evaluate ${\lim }_{x\to \infty }\frac{-8x^2-3x}{-9x^2-1}$.

Evaluate ${\lim }_{x\to 0}\frac{\sqrt{x+4}-2}{x}$.

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

Evaluate ${\lim }_{h\to 0}\frac{\frac{1}{4+h}-\frac{1}{4}}{h}$.

Evaluate ${\lim }_{x\to \infty }\frac{2x^2-6x}{-x^2+7}$.

Evaluate ${\lim }_{x\to 0}\frac{\sqrt{x+36}-6}{x}$.

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

What does direct substitution give for ${\lim }_{x\to -6}\frac{x^2+11x+28}{x^2-49}$, and what follows from it?

Evaluate ${\lim }_{x\to 0}\frac{\sqrt{x+64}-8}{x}$.

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

Evaluate ${\lim }_{x\to 3}\frac{x^2+5x-24}{x-3}$.

Evaluate ${\lim }_{x\to 0}\frac{\sqrt{x+49}-7}{x}$.

Evaluate ${\lim }_{x\to 0}\frac{\sqrt{x+121}-11}{x}$.

Evaluate ${\lim }_{x\to \infty }\frac{-4x^2-3x}{5x^2-2}$.

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

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

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