Limits in complex numbers and functions

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The discussion revolves around solving limits involving complex numbers and functions. The first limit, involving (1+i)/2, is initially thought to be divergent, but it is later clarified that it converges to 0 since its modulus is less than 1. For the second limit, participants discuss using power series and L'Hôpital's rule to evaluate the limit as z approaches 0. The third limit, which presents a 0/0 form, requires factoring and applying Euler's formula to resolve. Ultimately, the participants express satisfaction upon finding the correct answers to their problems.
  • #31
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.

That looks like what I got.
 
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  • #32
Just checked on WOLFRAM. Correct! VICTORY!
 

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