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There are no examples of infinite power.

Power cannot increase to infinite values.

Infinite power would be the ability to do anything that is conceivable. God does not actually have infinite power at least according to the christian fathers.

St Thomas Aquinas argued that God's power was not infinite but constrained by logic. That is that God cannot do what is conceivable but logically impossible. So for example God cannot make a square circle (a circle with 4 sides) or create a weight that He himself couldn't lift (as God is omnipotent) because both these things are logically impossible

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