91Ó°ÊÓ

In Problems 77 – 82, determine where each rational function is undefined. Determine whether an asymptote or a hole appears at such numbers.

$R\left(x\right)=\frac{x^3+2x^2+x}{x^4+x^3+2x+2}$

In Problems 77 – 82, determine where each rational function is undefined. Determine whether an asymptote or a hole appears at such numbers.

$R\left(x\right)=\frac{x^3-3x^2+4x-12}{x^4-3x^3+x-3}$

For Problems 83 – 88, use a graphing utility to graph the functions R given in Problems 77– 82. Verify the solutions found above.

$R\left(x\right)=\frac{x^3-x^2+x-1}{x^4-x^3+2x-2}$

For Problems 83 – 88, use a graphing utility to graph the functions R given in Problems 77– 82. Verify the solutions found above.

$R\left(x\right)=\frac{x^3+x^2+3x+3}{x^4+x^3+2x+2}$

For Problems 83 – 88, use a graphing utility to graph the functions R given in Problems 77– 82. Verify the solutions found above.

$R\left(x\right)=\frac{x^3-2x^2+4x-8}{x^2+x-6}$

For Problems 83 – 88, use a graphing utility to graph the functions R given in Problems 77– 82. Verify the solutions found above.

$R\left(x\right)=\frac{x^3-x^2+3x-3}{x^2+3x-4}$

For Problems 83 – 88, use a graphing utility to graph the functions R given in Problems 77– 82. Verify the solutions found above.

$R\left(x\right)=\frac{x^3+2x^2+x}{x^4+x^3+2x+2}$

For Problems 83 – 88, use a graphing utility to graph the functions R given in Problems 77– 82. Verify the solutions found above.

$R\left(x\right)=\frac{x^3-3x^2+4x-12}{x^4-3x^3+x-3}$

Name three functions that are continuous at every real number.

In Problems 7–16, use a table to find the indicated limit.

$9.\underset{x→0}{\lim }\frac{x+1}{x^2+1}$