Consider f(z)=log(z²) where log(z)=ln(∣z∣)+iArg(z) is the principal branch of logarithm. a) Let r∈R\{0} be arbitrarily chosen. Calculate the limit of f(z) at r i as r i is approached from the left along the origin centered circle of radius ∣r∣. Then do the same, but approach the point from the left. What can you deduce about the limit of f(z) at ri ?
