2. Evaluate the limits, using algebra and/or limit properties as needed.
(a) lim x→2 (3x²-5)/(x²+3x-3)
(b) lim x→1 (√(5x-4)-1)/(x-1)
(c) lim x→-2 (x²-x-6)/(x²-x-2)
(d) lim h→0 ((2+h)²-4)/(3h)
(e) lim x→π (2 sin(x) - 3 cos(5x))
(f) lim x→(3π/2)⁻ tan(x)
(g) lim x→3⁺ 6/(3-x)
(h) lim x→6⁻ 3x/(x²-5x-6)
3. Evaluate the following limits, using algebra and/or limit properties as needed.
(a) lim x→∞ (-3x² + 5x + 7)
(b) lim x→-∞ (x³-2x+3)/(5-2x²)
(c) lim x→∞ √(9x⁶-x)/(x³+1)