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Homework Statement:

Consider 4 identical charges q arranged in a rectangle in the xy plane. The rectangle has dimensions a x b.
Determine the electric field in the center of the rectangle.
Determine the electric field a distance c above the center of the rectangle.
Make sure you check your answer by looking at the limit as c goes to infinity and zero, and check the units of your final expression.
Homework Equations:
 E=(Kq/r^2)*
I am stuck on the following question (Image attached of my work) appears to make sense until i try to take a limit as c>0 because the result should be 0. Am i missing something, if so cant you point me in the right direction.
Thank you
Thank you
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