1. The problem statement, all variables and given/known data 1. I'm trying to figure out how to take limits involving i and complex functions f(z) The first problem is as follows: lim(n [itex]\rightarrow[/itex] [itex]\infty[/itex] ) n*((1+i)/2))^n The second is: lim (z app. 0 ) of [tex](sinz/z)(1/z^2)[/tex] The third is: lim (z app. e^i*pi/3) of (z-e^i*pi/3) * (z/(z^3 + 1)) 2. I have no idea how to get started on these. The first one seems to be divergent as I plugged in a few values for n and the expression kept getting larger. For the second one, I know from real variabled calculus that lim (x app 0) of sinx/x is 1 but don't know how to use that in this problem. The third one just seems crazy to me, but I do know that the denominator goes to 0 since we get cos pi + i sin pi = -1 and -1+1=0. We get 0/0 so need to use some tricks! 3. Any help?