Though not guaranteed, since it’s only been 3 years, it sounds like your chances of conception are pretty good.

From wikipedia:

"The rate of pregnancy depends on such factors as the method used for the vasectomy and the length of time that has passed since the vasectomy was performed. The reversal procedures are frequently impermanent, with occlusion of the vas recurring two or more years after the operation.

A local urologist can easily determine whether you have 0, 1, or 2 sperm granuloma by a painless examination of each vasectomy site. This exam can be fairly inexpensive, if you inform his office in advance that this is the only service you wish and you obtain the cost for only this specific examination. If the interval since your vasectomy is less than fifteen years, your prognosis will be 70% or better and this local examination is probably not needed. A sperm granuloma develops from post-vasectomy sperm leakage and somehow it behaves like a safety valve preventing internal pressure build up and ruptures of the delicate epididymis tubules with subsequent obstructive scarring."

And –
Vasectomy reversal can be effective regardless of how long it’s been since the original vasectomy. However, if more than 15 years have passed since the original vasectomy, you may have a lower chance of having enough healthy sperm in your semen to father a child."

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