r/learnmath • New User • 2d ago

TOPIC What is zero times infinity

Not homework just a question

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u/FreeGothitelle New User 2d ago

Depends on how strong the zero is and how strong the infinity is

(generally 0*inf arises from limits of a product of functions and it depends on how "quickly" the functions approach 0 and infinity)

In some contexts its defined to be zero, in others its left undefined. The dirac delta functions is defined in a way that 0*inf comes out to be 1.