Electric fields due to different kinds of plates

We have a triangular uniformly charged plate of charge density σ\sigma.

We take a point just above a vertex of the triangular plate at a distance dd perpendicular to the plane of the triangle. Let the vertical component of electric field at that point be E(d)E(d) in V/mV/m

Find limd0E(d) \displaystyle \lim_{d \rightarrow 0}{E(d)}

Details and Assumptions:

1) σ=109C,ϵ0=8.85×1012 SI units \sigma = 10^{-9} C , {\epsilon}_{0}=8.85 \times {10}^{-12} \text{ SI units}

2) The triangle is equilateral. By vertical component of electric field I mean electric field perpendicular to the plane of charge.

3) The plate is non conducting.

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