lim -3x xxx52x lim - 4x 13 xxx3 2x - 7 lim 2 _ 52 – 8 x x-x 8 lim x-x lim xx - - - 8x2 √√√x² + 3x 10 11x - √x² + 3x 10 11x - =

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.