45 here is one possibility 46 here is one possibility

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Unformatted text preview: t;b # xc1 Section 2.5 Infinite Limits and Vertical Asymptotes # 95 35. y œ x c% xc" œxb"c $ xc" 36. y œ x2 c " #x b % " œ #x c " b $ #x b % 39. Here is one possibility. 40. Here is one possibility. 41. Here is one possibility. 42. Here is one possibility. # # $ # 37. y œ x c1 x œxc " x 38. y œ x b1 x œxb " x 96 Chapter 2 Limits and Continuity 44. Here is one possibility. 43. Here is one possibility. 45. Here is one possibility. 46. Here is one possibility. 48. For every real number B € 0, we must find a $ € 0 such that for all x, !  kx c 0k  $ Ê " lx l " " € B € ! Í lxl  B . Choose $ œ B . Then !  kx c 0k  $ Ê lxl  " B 51. (a) We say that f(x) approaches infinity as x approaches x! from the left, and write lim f(x) œ _, if for every positive number B, there exists a corresponding number $ € 0 such that for all x, x! c $  x  x! Ê f(x) € B. (b) We say that f(x) approaches minus infinity as x approaches x! from the right, and write lim f(x) œ c_, if for every positive number B (or negativ...
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This note was uploaded on 09/20/2010 for the course MATHEMATIC 09991051 taught by Professor Dr.maenshadeed during the Fall '10 term at Norwegian Univ. of Science & Technology.

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