The symblos are not easy to type, so I attached the question, please help me, thanks!

Given the following local descriptions of an isolated singularity determine which ones are possible. If such a local form is possible given an explicit example, otherwise prove that no such example exists. 

a)  f:Ω{w}is holomorphic with an order 4 pole at z=0 but res0f=0.

b)  f : Ω {w} is holomorphic with an order 2 pole and    limz→w(z − w)3/2f(z) = 0

c)  Both f and g are holomorphic on Ω {w} with poles of order 2 and 3 respectively but f + g has a removable singularity at        z = w

d)  f is holomorpic on Ω{w1} with an order 1 pole at w1 and g is holomorphic on Ω{w2} with an order 2 pole at w2, (w1 = w2) but fg has removable singularities at w1 and w2. 

The symblos are not easy to type, so I attached the question, please help me, thanks!