Given that z is a complex number of the form z=a+bi, where a,b∈R, and ¯z is its conjugate, what is lim
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.