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1 . 1 1 1 3'7. Findthesum. 1;+;+.... 38. Find the sum Sin 7(3)"- 1 1 39. Find the first four partial sums and the nth partial sum of the sequence an: m E 40. Write the sum using sigma notation: 1 2x + 3x2 413:3 + 5x4+. . . . 100:!69'J 41. Find the nth term of a sequence whose first several terms are given. a) 1,3,i,,.... b) 5,25,125,625,.... 3 9 42. Find the limits. 1 1 . x+12 . _ a) hm _ b) itmm x>3 x 3 x>D x . costam'} . x3+1 c) hm cl 11m 3H] 1'} x>1 1+1 28. Sketch the curve represented by the parametric equations using a calculator and write teh corresponding rectangular equation by eliminating the parameter. a. x=2t+3, y=3t+1 b.x=t+1,y=t2 c. x=\\/E,y=t+5 d. x = 3cost, y = 45in: 29. Convert from polar to rectangular form: a. (an/3) b. (2, Sir/3) 30. Convert from rectangular to polar form a. (3, 4) b. (3, 4E) 31. Convert the rectangular equation to polar form: x2 + y2 = 9 32. Convert the polar equation to rectangular form: r = 3sine 33. Sketch a graph: r = 2 - 5cose 34. Sketch a graph: r = 2sin30 35. Determine whether the infinite geometric series is convergent or divergent. If it is convergent, find its sum. a) 1 - -+4 -2+... b) 1 - V2 + 2 - 2V2 + 4-... 36. Determine the nth term of the geometric sequence. a) -8, -2, -=, --,... b) t, 2 5, 2 ,....c) For f (x) = cos 2x, find f(0), f (-"), f(") d) For f (x) =, find (2)-f(2) x-2 11. Find the domain of the function a) f(x) = V6x b) y = sec c) f (x) = = 12. Evaluate the function as indicated. Given f(x) = {lx| + 1,x