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asked 2 years ago

b@nnon.us gravatar image

complex limits

Given that z is a complex number of the form z=a+bi, where a,bR, 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.