$\displaystyle

f(x)=\frac{x^2+3x-4}{x^2+x-2}

$

a. Find the domain of function

b. Find $\displaystyle \lim_{x\to1}f(x)$

c. Find all vertical and horizontal asymptotes

d. Find $\displaystyle \lim_{x\to\infty}f(x)$

Here are my answers...are they correct?

a. All real numbers not equal to -2

b. $\displaystyle \infty$

c. Vertical: $\displaystyle y=1, -1$

Horizontal: $\displaystyle x=2$

d. $\displaystyle \lim_{x\to\infty}f(x)=1$