taper off
Verb
Meaning
end weakly
become smaller or less active
Source: WordNetSynonyms
Antonyms
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Examples
For three days after death hair and fingernails continue to grow but phone calls taper off.
Most projects start out slowly - and then sort of taper off.
The music just petered out--there was no proper ending
Business tapered off
All S models have bodies that are thicker in the middle where the pickups are, and taper off towards the outer edges.
Dendrites often taper off in shape and are shorter, while axons tend to maintain a constant radius and be relatively long.