• (adv.) Without bounds or limits; beyond or below assignable limits; as, an infinitely large or infinitely small quantity. • (adv.) Very; exceedingly; vastly; highly; extremely. Found on http://thinkexist.com/dictionary/meaning/infinitely/
In'fi·nite·ly adverb 1. Without bounds or limits; beyond or below assignable limits; as, an infinitely large or infinitely small quantity. 2. Very; exceedingly; vastly; highly; extremely. ' Infinitely pleased.' Dryden. Found on http://www.encyclo.co.uk/webster/I/54