If the real part of is zero, find the locus of points representing in the complex plane.
Any ideas on what to do first?
Since any number divided by zero is undefined and 1-1=0 (the denomitator) makes the equation undefined. Start with the real numbers on either side of it and solve the fraction. test z=0 and z=2 How far apart are they from each other? test a set of numbers closer together say z= .5 and z=1.5 (1.5 is closer to 1 than 2). Are they further apart or closer together than 0 and 2? You have 2 points on the left of zero and 2 on the right of zero so make a line to connect them and see if they ever connect.