Definition of taper off phrasal verb from the Oxford Advanced American Dictionary

 

taper off

 phrasal verb
phrasal verb
 
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Phrasal Verbs
to become gradually less in number, amount, degree, etc. The number of applicants for teaching positions has tapered off.

taper somethingoff

 
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to make something become gradually less in number, amount, degree, etc. They are gradually tapering off production of the older models.
See the Oxford Advanced Learner's Dictionary entry: taper off