x-+2 x-+2 2. [K,4] Given lim f(x) =- 1 and lim g(x) = 3, use the limits properties to rewrite the limit, and find lim 2f (x)-g(x) x-+2 g(x)+27. [A. 3'] Consider the following position function: s(() = [ + 4". Find the instantaneous velocity at the generic moment & = a by using first principle method. Show your work. 9. JA, 4'1 Find the equation of the tangent line to the graph of f (x) = -at the point Pil,3) Show your work. Bonus: Use the limit definition to compute the denvalive, Ix), for / (T) = Co53x,4. For each limit, if it exists, using any appropriate technique. a) [K, 2'] lim +1 b) [K, 2'] lim- *2-2x+1 x-+2 x+1 x-1 x-+x-2 c) [K, 3'] lim Vx + 3 = X -+-3 d) [K, 3'] lim = (+ ) = d) [K, 3'] lim Vx-4 x3+8 x-16 x-16 e) [T, 1'] lim x-+-2x2-4 m x6-1 e) [T, 3'] lim