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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

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