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35. Numerical and Graphical Analysis In Exercises 11-16, create a table of values for the function and use the result to determine whether f(x)

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35. Numerical and Graphical Analysis In Exercises 11-16, create a table of values for the function and use the result to determine whether f(x) approaches oo or -co as x approaches -3 from the left and from the right. Use a graphing utility to graph the function to confirm your answer. 1 X 11. f(x) == 12. f(x) x-9 x-9 x 1 13. f(x)= 14. f(x) = x-9 3+x 15. f(x) = cot 7x . 16. f(x) = tan 6 40 Finding Vertical Asymptotes In Exercises 17-32, find the vertical asymptotes (if any) of the graph of the function. 17.) f(x) = x 18. g(t) = x24 12 + 1 3 x2 5x + 25 19. f(x) =1 20. g(x) = x3+125 4x+4x-24 21.)f(x) x4 - 2x39x2 + 18x Finding a One-Sided Limit In Exercises 37-52, find the one-sided limit (if it exists). X 37. lim -2x-2 39. lim x+3 x-3x+x-6 41. lim 1+ x0- 43. lim x-4- 1) (x + 45. lim sin x + +01x ex 47. lim x8(x-8)3 49. 38. lim x+2x+4 6x2+x-1 40. lim x-(-1/2)+ 4x2 - 4x - 3 42. lim 6 x-0+ 2 44. lim x (x-143) x+4 -2 lim In cos x x(1/2) 46. lim x-(/2) COS X 48. lim In(x216) x-4+ 50. lim e-0.5x sin x +044

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