envoyant

In a sentence

• Envoyant les enfants jouer au parc, je me suis rappelé mes souvenirs d'enfance.

  Seeing the children play at the park, I recalled my childhood memories.

  Here, 'envoyant' functions as a present participle, describing the action of 'seeing' while relating to the speaker's experience.

• En leur envoyant le courrier aujourd'hui, j'espère qu'ils le recevront demain.

  By sending them the mail today, I hope they will receive it tomorrow.

  Here, 'envoyant' operates as a gerund, denoting the means or manner in which the action 'sending' occurs.

• Je suis en train d'adresser la lettre en l'envoyant par poste.

  I am currently addressing the letter by sending it via post.

  In this usage, 'envoyant' also acts as part of a gerundial phrase, specifying the method of transmission of the letter.