a$)$ evaluate the following limit

$\underset{x-1}{lim}\frac{x^2+2x+1}{x+1}$

b$)$ based on your answer does the function $\frac{x^2+2x+1}{x+1}$ have a vertical asymptote at $x+1=-1.$ explain if not and what the graph looks like at $x=-1.$

c$)$ evaluate the following limit

$\underset{x}{lim}\frac{x^3+2x^2+1}{3x^3-4x}$

d$)$ does the function $f(x)=\frac{x^3+2x^2+1}{3x^3-4x}$ have a

horizontal asymptote if so what is the equation?

please show work and explain