I finally figured out what to do for the limit (it is far too much work for me to be arsed to explain though :P)...and thanks for the tip about symmetry!
1. Homework Statement
(a) Calculate the electric field at an axial point z of a thin, uniformly charged cylinder of charge density ρ , radius R, and length 2L. z is the distance measured from the center of the cylinder. (b) What becomes of your result in the event z >> L ?
2. Homework...