Need help with this, can you show how to solve with work please.

Problem 1. (10 points) Given that: lim f(x) = 2 lim f(a) = 1 I-+5 lim g(a) = 1 lim g(x) = 3 1 + 9 Apply the properties of limits to solve the following problems: 1. lim f2 (z) 29(z) 2. lim(f(x) - g(2)) = 3. lim (f2(x) - 92 (x)) = 1 5 4. lim(2f(x) + 9g(x)) = Note: You can earn partial credit on this problem. Problem 2. (5 points) In(x/3) Find the limit: lim (Enter undefined if the limit does not exist.)Problem 3. (10 points) Calculate the derivative of y with respect to x, if a y + 5xy = x + y. dy Now find the equation of the tangent line to the curve at the point (0, 0). y Note: You can earn partial credit on this problem. Problem 4. (10 points) Find g'(4) given that f(4) = 3, f'(4) = 5, and g(x) = Vac f(x)