the function 31. lim x-1 X + x + 2x + 2 x2 3x-4 2x X 30. lim x1 x 3x 4x In Problems 33-44, find the limit as x approaches c of the average rate of change of each function 32. lim x3 x 3x3 +x- c to x. from 33. c 2; f(x) = 5x - 3 34. c -2; f(x) = 4-3x 35. c 3; f(x) = 2 ) (x-2) 36. c 3; f(x) x 37. c = -1; f(x) = x +2x 38. c 1; f(x) 2x - 2 39. c 0; f(x) = 3x3 - 2x2 +4 40. c 0; f(x) = 4x3 - 5x + 8 41. c 1; f(x) = 1 1 X 42. c 1; f(x) - 43. c 4; f(x) = Vx x2 44. c 1; f(x) = Vx In Problems 45-52, assume that lim f(x) 5 and lim g(x) = 2 to find each limit. up idgit xc xc 45. lim [2f(x)] lx 2) = 7 46. lim [f(x) g(x)] 47. lim [g(x)'] 48. lim X c 2 4 49. lim f(x) 3 50. lim g(x) 51. lim [4f(x) 5g(x)] 52. lim [ xc X C 12.3 One-Sided Limits; Continuous Functions OP//0 TOA PREPARING FOR THIS SECTION Before getting started, review the following: nd c is in the domain, > Piecewise-defined Functions (Chapter 10, Section 10.4. > Domain of Rational Functions pp. 583-585) Section 11.2, p. 624) > Library of Functions (Chapter 10, Section 10.4, pp. 579-583)> Properties of the Exponential ynomial, use Formulas > Properties of the Logarithmic Function (Chapter 11, Sec (Chapter 11, Section 11.3, pp. p. 646) o, use the fact that the OBJECTIVE e-sided limits of a function i eipo oc:s er a function is continuous ther techniques, sudh lier Scribed lim f(x) = N by saying that as x gets clo

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Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.