# Electric field generated from dipoles

I'm having a little difficulty understanding the electric field generated from electric dipoles. As far as I know electric fields are generated on positive charges and terminated on negative charges. Since a dipole is a positive charge and a negative charge seperated by a very small distance, why doenst they just simply cancel each other out?

Thanks
René

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Tide
$\frac {1}{x}$ and $- \frac {1}{x}$ cancel exactly when added together (we ignore x = 0 for this discussion) but $\frac {1}{x-\epsilon}$ and $-\frac {1}{x+\epsilon}$ do not cancel.