Question $7.$

If it exists, evaluate the limit and justify each step by indicating the appropriate limit law$($s$)$ if necessary.

$10$

a$)\underset{x-2}{lim}(3x^4+2x^2-x+1)$

b$)\underset{x2}{lim}\sqrt[\phantom{2}]{\frac{2x^2+1}{3x-2}}$

c$)\underset{x1}{lim}\frac{x^2-1}{x-1}$

d$)\underset{h0}{lim}\frac{(3+h{)}^2-9}{h}$