How do I go about this?

Evaluate the following limits: 1. lim - 2. lim x -3 x+3+x- 3. lim- 4. lim - 1-x 5. lim x-5 (x-5)2 x - -0 (x+8)3 6. Sketch a graph of the function f(x) with the following characteristics: Domain: x # -1,2,3. Horizontal asymptote: y = 0. x-intercept: x = 1. lim _f(x) = co lim f(x) = - co lim f(x) = 3 lim_f(x) = co lim f (x) = co 543 211: 2 5. Below is a graph of the function f[:t:] = I a. What is the domain of this function? Write your answer using interval notation. Domain: In. What value do you get in the numerator and denominator when you try to evaluate HE)? Answer: c. Evaluate the following limits using the methods that we learned in Section 2.4. 1_ 12;: 11 ljmlx xL'E-xe x-2+,1'E xazxE d. When you look at the graph of x}. do your answers correspond with the characteristics of the graph around 1- = 2? MEZET'EI' n 1' fix} wiil have a vertical asymptote at x = a. We wili use this knowledge of the graph to evaluate the one sided limit by picking an x-value close to I = a and plug in to the function. If the value of the function is a huge positive nwnber. then the answer is +I=n. It the value of the function is a huge negative number. then the answer is GD. Conclusion: When you try to evaluate giinn fix] and you get we know that the graph of