A population is modeled by $P(t)=\frac{8000t}{t+4}$ animals after $t$ years. What does ${\lim }_{t\to \infty }P(t)$ equal, and what does it mean?

Evaluate ${\lim }_{x\to \infty }\frac{-x^3-5}{7x^2-5}$.

Evaluate ${\lim }_{x\to \infty }\frac{-3x^2+6x}{4x^2+6}$.

Use the graph of $f$. What is ${\lim }_{x\to \infty }f(x)$?

Use the graph of $f$. What is ${\lim }_{x\to \infty }f(x)$?

Evaluate ${\lim }_{x\to \infty }\frac{\sqrt{64x^2+9}}{3x+9}$.

Evaluate ${\lim }_{x\to -\infty }\frac{\sqrt{9x^2+5}}{-7x+5}$.

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

Use the graph of $f$. What are its horizontal asymptotes?

Use the graph of $f$. What is ${\lim }_{x\to \infty }f(x)$?

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

Evaluate ${\lim }_{x\to \infty }\frac{5x^2-9x}{-6x^2-9}$.

Use the graph of $f$. What is ${\lim }_{x\to \infty }f(x)$?

Use the graph of $f$. What is ${\lim }_{x\to -\infty }f(x)$?

A population is modeled by $P(t)=\frac{1200t}{t+8}$ animals after $t$ years. What does ${\lim }_{t\to \infty }P(t)$ equal, and what does it mean?

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

Evaluate ${\lim }_{x\to -\infty }\frac{\sqrt{64x^2+7}}{9x+7}$.

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

Evaluate ${\lim }_{x\to \infty }\frac{-9x^2+3x}{-7x^2+3}$.

Evaluate ${\lim }_{x\to \infty }\frac{-7x^3-2}{-5x^2-2}$.

Use the graph of $f$. What is ${\lim }_{x\to \infty }f(x)$?

Evaluate ${\lim }_{x\to \infty }\frac{10^x}{10^x+5}$.

Evaluate ${\lim }_{x\to \infty }\frac{7x^2+8x}{x^2+8}$.

Use the graph of $f$. What are its horizontal asymptotes?

Use the graph of $f$. What is ${\lim }_{x\to \infty }f(x)$?

Evaluate ${\lim }_{x\to \infty }\frac{-8x^2+x}{7x^2+1}$.

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

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

Use the graph of $f$. What are its horizontal asymptotes?

What are the horizontal asymptotes of $f(x)=\frac{-8x}{\sqrt{x^2+1}}$?

Use the graph of $f$. What is ${\lim }_{x\to \infty }f(x)$?

Evaluate ${\lim }_{x\to \infty }\frac{9x^2-5x}{-5x^2-5}$.

Evaluate ${\lim }_{x\to \infty }\frac{\sqrt{36x^2+5}}{-8x+5}$.

Evaluate ${\lim }_{x\to \infty }\frac{-x^3+8}{-5x^2+8}$.

Evaluate ${\lim }_{x\to \infty }\frac{-8x-9}{x^2+6}$.

Evaluate ${\lim }_{x\to \infty }\frac{x-4}{x^2-7}$.

Evaluate ${\lim }_{x\to \infty }\frac{\sqrt{64x^2+4}}{-2x+4}$.

Use the graph of $f$. What is ${\lim }_{x\to -\infty }f(x)$?

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

Evaluate ${\lim }_{x\to \infty }\frac{-4x^2+8x}{5x^2+8}$.