(1) Evaluate the following limits. Justify your answers. (a) limz-. V9x2-2 x+4 (b) limx--. V9:2-2 (c) lim ,-+0.(z-VI) (d) limx-+0. (Vx2 + 12x - x) (e) lim-+0 2e2x 4 4e32 (2) Use the limit definition of the derivative to find a Vx2 + 1 Do not use the power rule or the chain rule. Your answer should start with d Vx2 + 1 = lim . . (3) Find an equation of the tangent line to the curve y = x2 + 1 at the point (2, 5)