2. [L2*, Secs 2.3, 4.6] Evaluate the limits, using algebra and/or limit properties as needed.
a. $$ \lim_{x \to 2} \frac{3x^2 - 5}{x^2 + 3x - 3} $$
b. $$ \lim_{x \to 1} \frac{\sqrt{5x - 4} - 1}{x - 1} $$
c. $$ \lim_{x \to -2} \frac{x^2 - x - 6}{x^2 - x - 2} $$
d. $$ \lim_{h \to 0} \frac{(2 + h)^2 - 4}{3h} $$
e. $$ \lim_{x \to 3^+} \frac{6}{3 - x} $$
f. $$ \lim_{x \to 6^-} \frac{3x}{x^2 - 5x - 6} $$
