ANSWERS ONLY

17 - 18. Which of the following conditions make a single - valued function f 2 points (x) continuous at x = a of its domain? * 1. f(a)is defined Il. lim f (x )exists x -a x-a Ill. lim f (x) = f(a) IV. f(a) = 1 A. I & IV O B. II & III C. I, II & III D. II, III & IV 19 - 20. Which of the following functions is continuous at x = - 1? * 2 points 1. f (x ) = x3+1 x+1 x+1 ll. g (x) = -,x#-1 x+1 7, x =-1 x3 +1 Ill. f (x) = x+1 ,x*-1 3, x =-1 A. I B. II O C. III D. None of the above 21 - 22. * 2 points What is the value of lim (2-7-x) ? A. 1 B. 2 O C. 3 O D. 423 24. What is the limit of 3(1 cos x )1): as x approaches 0? * 2 points For numbers 25 28, consider the function f(x) whose graph is given below. 25 26. What kind of discontinuity is exhibited by the graph? * 2 points 0 A. Essential Discontinuity O B. Infinite Discontinuity O C. Point Discontinuity O D. Removable Discontinuity 27 28. At what values of x does this type of discontinuity happen? * 2 points 0 A. All integers 29 - 30. Which of the following is not true about the limit of trigonometric 2 points functions?* lim cot x = cot c lim csc x = cscc x -c x-c O A. B. lim sec x = sec c lim tanx = secc x-c O c. O D. 31 - 32. Find; * 2 points sin 10z lim x-+ 0 Z A. 1 O B. 10 C. 20 D. 30 33 - 34. Evaluate * 2 points lim ex X - -00 A. Negative infinity OB. O O C. 1 O D. Positive infinity