Come to the point! (5)
(Other definitions for converge that I've seen before include "Tend to meet at a point" , "Tend towards a common point" , "tend to get together" , "Come towards the same point like Congreve" , "Move toward the same point" .)
'come to the point' is the definition.
(I've seen this in another clue)
This is all the clue.
(Other definitions for taper that I've seen before include "Slender candle" , "Thin candle, spill" , "Gradually come to a point" , "Prate (anag.)" , "Gradually become thinner" .)