Albert Barnes on Acts 9:42

And many believed, etc. A similar effect followed when Jesus raised up Lazarus. See Jn 12:11.

This was the first miracle of this kind that was performed by the apostles. The effect was, that many believed. It was not merely a work of benevolence in restoring to life one who contributed largely to the comfort of the poor, but it was used as a means of extending and establishing, as it was designed doubtless to do, the kingdom of the Saviour.

(e) "many believed" Jn 12:11