AngouriMath
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WithoutTheDestination(AngouriMath.Entity)
Method (no overloads)
Summary
A part's limit with the destination folded out of it. A one-sided limit at a finite
point moves the variable out to infinity, and the value read off there keeps the
infinity in it: x^2 + x - 1 from the left at 0 is -1 - 1/+oo + 1/+oo^2, which is -1
but is not finite to the check above, so sin(x^2 + x - 1) from the left at 0 was left
unevaluated. Only for the trigonometric functions, which have no cut, and so are
continuous at every finite argument short of a pole. A function with a cut is not:
arctan and the logarithm decline there by their own reading, and folding their
argument's limit would answer with the value on the cut.
point moves the variable out to infinity, and the value read off there keeps the
infinity in it: x^2 + x - 1 from the left at 0 is -1 - 1/+oo + 1/+oo^2, which is -1
but is not finite to the check above, so sin(x^2 + x - 1) from the left at 0 was left
unevaluated. Only for the trigonometric functions, which have no cut, and so are
continuous at every finite argument short of a pole. A function with a cut is not:
arctan and the logarithm decline there by their own reading, and folding their
argument's limit would answer with the value on the cut.
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