The discussion revolves around limits involving complex numbers and functions, specifically focusing on three distinct limit problems. The first limit involves a sequence with a complex number raised to the power of n, the second limit concerns the behavior of a trigonometric function divided by a polynomial as z approaches zero, and the third limit examines a complex function as z approaches a specific complex number.
Participants are actively engaging with the problems, offering insights and corrections. Some have begun to clarify their understanding of the limits, while others are still grappling with the implications of their findings. There is a recognition of the need for further exploration of the limits, particularly in how to handle the indeterminate forms and the application of L'Hôpital's rule.
There is a noted confusion regarding the notation in the first problem, which has implications for its convergence. Participants are also considering the nature of complex functions and how traditional calculus techniques apply in this context.
MATHMAN89 said:I think I got it.
I ended up with
(1-i√3)/6
Sound right?? Should be if I did all the calculations right.