〜てくる

Pattern
〜てくる
Level
N4
Reading
〜てくる indicates an action or change that is coming toward the speaker, starting from the past up to the present, or performing an action and returning. It attaches to the て-form of verbs (e.g. 走ってくる, 太ってくる). It contrasts with 〜ていく, which moves away from the speaker or into the future. level: N4, nuance: physical or temporal progression toward the speaker.
Meaning
to come to do, to start to, to do and come back
Example

最近、だんだん寒くなってきました。 Recently, it has gradually started to get cold.

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