1. The problem statement, all variables and given/known data The lim(z->i) of [z^2+(1+i)z+2] using the epsilon-delta proof. 2. Relevant equations z=x+iy Triangle Inequality: |z+w|<or=|z|+|w| 3. The attempt at a solution For every epsilon>0, there exists a delta>0 such that |(z^2+(1+i)z+2)-(i)|<epsilon whenever 0<|z-i|<delta I'm not sure how to change z^2+(1+i)z+2 into z-i. Or am I approaching the situation wrong?