When we think of the infinity of God, we think of the divine being or essence as having no bounds or limits. Infinity refers to boundlessness and limitlessness. When we say that God possesses infinity, we mean that His being does not have limits and does not have bounds—He is illimitable. We notice this in the book of Job.
Canst thou by searching find out God? canst thou find out the Almighty unto perfection? It is as high as heaven; what canst thou do? deeper than hell; what canst thou know? The measure thereof is longer than the earth, and broader than the sea. If he cut off, and shut up, or gather together, then who can hinder him? (Job 11:7-10)