I don't understand how to remove the discontinuity on this problem:
(x-4)/( (sq. root of x) - 2), x=4
please help!
Hello, h4hv4hd4si4n!
Remove the discontinuity: .
Since , there is a discontinuity atIt is the upper half of a "horizontal" parabolaCode:| | * | * | o | * : | * : |* : | : 2* : | : | : ----+------+------------- | 4
. . with a hole at (4, 4).
Rationalize: .
Hence: .
Therefore: .
. . and this "fills in the hole" . . . The function is continuous.