Unexpected result in calculating limits
Limit of sqrt(x-3) when x approaches 3 doesn't exist but the sage returns 0. Why is that?
sage:
sage: limit(sqrt(x-3), x=3)
0
sage:add a comment
is there any way to alter this behavior?
I don't know. Sympy behaves the same:
sage: from sympy import limit, sqrt
sage: from sympy.abc import x
sage: limit(sqrt(x-3), x, 3)
0
sage: limit(sqrt(x-3), x, 3, dir="+")
0
sage: limit(sqrt(x-3), x, 3, dir="-")
0
BTW, I don't quite understand the term "complex plane" and how the square root converges to 0. Where I can read more about it?
1
You may learn about the complex plane here https://en.wikipedia.org/wiki/Complex... and there is a section on the square root of negative number in the wikipedia page of the square root: https://en.wikipedia.org/wiki/Square_...
