Please solve all the problems! I appreciate it

1. Evaluate the following limits: [K:10] a. lim g (x) f. lim g (x) b lim g (x) g. lim g (x) C lim g (x) h lim g (x) d g (-1) 1. 8 (-3) e y-intercept J. lim g (x) x 3 2. Evaluate the following limits algebraically: A. x + 1 [A:2] B. lim x2 - 4x+1 [A:2] lim x-700 4x4 -21 x-1x4- 1 D. lim 2x- - 3x -2 C. 6 lim [1:2] [A:3] x -+ 3 x - 3 7 2 - 9 x-2 x+x-6E. lim Vx+h Vx h-+0 [1:5] F. lim x - 8 h x->2 x2_ [A:4] 3. Consider a function, f (x) =x2 -3x, A. determine the average rate of change in the interval [-2, 4] [C:2] B. determine the instantaneous rate of change at x =1. You can use the small number approximation, take h=0.01 for example. [C:2] C. sketch the curve and the perspective tangent at x = 1. [C:2]