You searched for: “ad infin”
ad infinitum; ad inf.; ad infin. (ad in fuh NIGH tuhm) (adverb) (not comparable) (Latin)
Limitlessly; indefinitely into the future; endlessly; describing how something goes on forever: Jonathan Swift, an English satirist born in Ireland (1667-1745), wrote: "So, naturalists observe, a flea hath smaller fleas that on him prey; and these have smaller still to bite ‘em; and so proceed ad infinitum."
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The term is often used interchangeably with ad nauseam and the original Latin sense is "beyond limits".