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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&quot; œxb&quot;c \$ xc&quot; 36. y œ x2 c &quot; #x b % &quot; œ #x c &quot; 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 &quot; x 38. y œ x b1 x œxb &quot; 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 &quot; lx l &quot; &quot;  B  ! Í lxl  B . Choose \$ œ B . Then !  kx c 0k  \$ Ê lxl  &quot; 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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