Sec 2.6: Limits Involving Infinity; Asymptotes of Graphs number E xample Infinite Limits Find the limits in Exercises 37-48 2x 2x2+1 x →+3-x-3 44. lim 0x(x+1) E xample 45. a. lim 2 b. lim 2 →03 x→0 a)lm b)lin x→0 x→ x x 5x+2 2 a)lm 3(x-3) 2-5x lim x0 = number lim 3 2 ) lim →3+ x − x a x 3 2 1 ) lim 2 3 − + → − x x c x Example: 2 0 1 ) lim x a x→ Example: 2 3 ( 3) 1 ) lim → x − b x 2 3 ( 3) 1 3 ) lim − − → x x c x 5 3 ( 3) 5 2 ) lim − + → x x d x 6 3 ( 3) 2 5 ) lim − − → x x d x Sec 2.6: Limits Involving Infinity; Asymptotes of Graphs