# Then x b x c x c 2 57 y sec

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Unformatted text preview: t; lx l  B so that lim x Ä ! lx l c2 (x c 3) # 47. For every real number cB  0, we must find a \$  0 such that for all x, 0  kx c 0k  \$ Ê c" x  cB. Now, " ÈB œ _.  cB.  B. Section 2.5 Infinite Limits and Vertical Asymptotes (c) We say that f(x) approaches minus infinity as x approaches x! from the left, and write lim f(x) œ c_, if for every positive number B (or negative number cB) there exists a corresponding number \$  0 such that for all x, x! c \$  x  x! Ê f(x)  cB. 52. For B  0, 53. For B  0, " x " "  B  0 Í x  B . Choose \$ œ B . Then !  x  \$ Ê 0  x  " B 97 54. For B  !, 55. For B  0, Ê " xc# " xc# " "  B Í !  x c 2  B . Choose \$ œ B . Then #  x  # b \$ Ê !  x c #  \$ Ê !  x c 2  \$ Ê # 57. y œ sec x b " x 58. y œ sec x c # c # " #B . " 1cx Then " c \$  x  " Ê c\$  x c 1  0 Ê " c x  \$   B for !  x  1 and x near 1 Ê xÄ" # 56. For B  0 and !  x  1, " 1cx b  B  ! so tha...
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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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