A function is said to have a horizontal asymptote if either the limit at infinity exists or the limit at negative infinity

Question

A function is said to have a horizontal asymptote if either the limit at infinity exists or the limit at negative infinity exists Show that each of the following functions has a horizontal asymptote by calculating the given limit 7x lim x 4 2x 15x 14 lim 100 x 13x 12 x 8x9 lim 148 5 1472 lim 7 8 lim 8118 x 12x 9 13x x 12x 9 13x 10

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