Reduce

Note the activity from the end of line 1 to the beginning of line 2.

                                                       2
     1---2x2 +-x          1--2x2-+-x- -1x2-       x12---2xx2-+--xx2
xl→im∞   x2 - 4     =  xli→m∞   x2 - 4   ⋅ 1-= xl→im∞    x2 - 4-
                                       x2           x2   x2
                          x12---2+-1x-
                  =  xli→m∞   1-  42
                                x

Return to the general computation page.

Return to the Limits at Infinity page.