We explore functions whose graphs approach a nonhorizontal line as x . A line y =
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We explore functions whose graphs approach a nonhorizontal line as x → ∞. A line y = ax + b is called a slant asymptote if
Show that y = 3x is a slant asymptote for ƒ(x) = 3x + x−2. Determine whether ƒ(x) approaches the slant asymptote from above or below, and make a sketch of the graph.
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or lim (f(x) (ax+b)) = 0 X-00 lim (f(x) (ax + b)) = 0 X--∞0
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Let fx 3x x Then lim fx 3x lim 3x x 3x lim x 0 X00 X00 X00 which implies that ...View the full answer
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