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:
Maybe because the square root function is defined for negative numbers and the square root of small negative numbers converges to zero as well (on the Complex plane):
sage: sqrt(-.00000001)
0.000100000000000000*I
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_...
Asked: 2020-04-15 13:43:24 +0200
Seen: 220 times
Last updated: Apr 15 '20