My calculus book says that y = (x^2 - 2)/(x - sqrt(2)) is discontinuous at 2, but Maple finds a limit of

Does the following error message mean that the only way to remove RealDomain is to exit Maple & then start a new session?

 unwith(RealDomain):

Here's a limit where Maple stalls:

The best it can do is

My calculus text says that a function cannot have an ordinary limit at an endpoint of its domain, but it can have a one-sided limit.  So, in the case of f(x) = sqrt(4 - x^2), the text says (a) that it has a left-hand limit at x = 2 and a right-hand limit at x = -2, but it does not have a left-hand limit at x = -2 or a right-hand limit at x = 2 and (b) that it does not have ordinary two-sided limits at either -2 or 2.

So there are six possibilities.  Maple gives limit = 0 for all six.  Why the discrepancy?

Alla

Here's a Maple bug:

If you define the function f(x) = (5 - y) ^ (4/3), then try to evaluate it at f(-3), you get the wrong answer.  To get the right answer you must evaluate it at f(-3.)  Of course we know that Maple distinguishes between exact answers & decimal answers, but both answers are supposed to be the same.  In the first case, you get 88^(1/3); in the second, the correct answer of 16.0. 

Anyone know what's going on?

Allan