ASKSAGE: Sage Q&A Forum - RSS feedhttps://ask.sagemath.org/questions/Q&A Forum for SageenCopyright Sage, 2010. Some rights reserved under creative commons license.Sat, 03 Dec 2022 00:58:04 +0100complex limitshttps://ask.sagemath.org/question/65172/complex-limits/Given that $z$ is a complex number of the form $z = a +b i$, where $a, \, b \in \mathbb{R}$, and $\overline{z}$ is its conjugate, what is
$$\lim_{z \to 0} \frac{\left( \overline{z} \right)^2}{ z^2} =\text{?}$$
When I ask Sage to do this limit, it says it's 1. I am almost certain that's not right. Here's the Sage code:
`sage: z=var('z')
sage: assume(z,'complex')
sage: limit((conjugate(z))^2/z^2,z=0)
`
My analysis leads to DNE, so I wonder if I am misusing Sage.b@nnon.usSat, 03 Dec 2022 00:58:04 +0100https://ask.sagemath.org/question/65172/