# 1.5  Limits
# Art Belmonte, Summer 1996
# These are the shaded gray examples which appear in Section 1.5.
# (In-line plots have been removed to conserve disk space.)
> restart; Limit((x^2 - 4) / (x - 2), x=2); value(");

                                     2
                                    x  - 4
                             lim    ------
                            x -> 2  x - 2


                                  4

> plot((x^2 - 4) / (x - 2), x=0..4);
> f:=(x^2 -4) / (x^2 - 5*x + 6);
> plot(f, x=0..4, y=-50..50, discont=true);
> Limit(f, x=3, right); value(");
> Limit(f, x=infinity); value(");

                                   2
                                  x  - 4
                          f := ------------
                                2
                               x  - 5 x + 6


                                     2
                                    x  - 4
                          lim    ------------
                        x -> 3+   2
                                 x  - 5 x + 6


                               infinity


                                        2
                                       x  - 4
                          lim       ------------
                     x -> infinity   2
                                    x  - 5 x + 6


                                  1

>