Answer to Question #322856 in Complex Analysis for Neyoclass

Question

Evaluate limz→2i⁡(iz^4+3z^2-10i)

Select one:

A. -12-6i

B. 12+6i

C. 12-6i

D. -12+6i

Answer 1

$\underset{z\rightarrow 2i}{\lim}\left( iz^4+3z^2-10i \right) =i\left( 2i \right) ^4+3\left( 2i \right) ^2-10i=i\cdot 16+3\cdot \left( -4 \right) -10i=-12+6i\\D\,\,is\,\,correct$