collocations.org

Collocations for infinity - noun

1. endless space/time

VERB + infinity

extend into, extend to, stretch into, stretch to
Theoretically, a line can extend into infinity.

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PREPOSITION

at infinity
Parallel lines appear to meet at infinity.
into infinity
He could have jumped off the cliff into infinity.

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2. number larger than any other

VERB + infinity

approach, tend to, tend towards/toward
As x approaches infinity, y approaches zero.

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PREPOSITION

at infinity
The usual convention is to choose the reference point at infinity.

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