How To apply Binomial Therem For, Z = 0 and Z R

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Hi Friends Please Solve my problem

Please TEll Properly

dq = Surface Charge
da = Surface Area
Radius of ring = w
Total Radius = R
qo = Point Charge
Distance from Center of Ring to Point Charge = Z

I want to know how I ca apply binomial theorem to solve the equation
If
Z = 0
Z >> 0 (Very greater)
 
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