1. Evaluate the following limits: lim g(x) X-4 a. lim g(x) 1 f. b. lim g(x) g. *-4* Ir lim g(x) +1 g(-1) C. d. e. y-intercept lim g(x) h. lim g(x) *+4 i. g(-3) 1113 j. lim g(x) [K:10] 2. Evaluate the following limits algebraically: A. x +1 lim -1 x - 1 [A:2] B. lim X8R x-4x+1 [A:2] 4x-21 1. 14-1 whenx-700 then +-0 C. lim x-3-9) [1:2] 6 2x-3x-2 D. lim [A:3] x+2x+x-6 11 E. lim h0 x+h x h lien L [1:5] x-8 F. lim- x-2x-4 [A:4] 3. Consider a function, f(x) = x-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. Xe sketch the curve and the perspective tangent at x=1. [C:2] [C:2] a) Aroc=1 (-2,4) b) ARoc= slope-m-Lin Lin frath)-F (6) h = f(x)-fo 12-X1 F(-2)=4(-8) F(4)