MHB Tricky complex analysis questions....

Zukias
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i.
Let f and g be functions with a pole at c. Create rules (and prove them) about how we can combine f and g at c.

and ii: Find the poles of the function :
\frac{cotz+cosz}{sin2z}

and classify these poles using part i.
 
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Do you mean what happens to c when considering f+g ?
 
ZaidAlyafey said:
Do you mean what happens to c when considering f+g ?

I think it means when functions are multiplied, added, substracted, divided etc, that's what I'm assuming anyway
 
I'll say write the Laurent expansion of f and g around the pole c and see what happens when you apply the arithmetic operations on the series.
 
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