Math Is Fun Forum

mathxyz

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 1,053

Infinity ÷ Infinity

Why is ∞ ÷ ∞ = indeterminate form?

Bob

Administrator

Registered: 2010-06-20

Posts: 10,627

Re: Infinity ÷ Infinity

Since infinity times n = infinity you could inverse this to get infinity/infinity = n but n can be anything(+)

This is why you shouldn't treat infinity like a number.

Bob

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Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

mathxyz

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 1,053

Re: Infinity ÷ Infinity

Since infinity times n = infinity you could inverse this to get infinity/infinity = n but n can be anything(+)

This is why you shouldn't treat infinity like a number.

Bob

There is a topic in calculus l or ll that allows for plugging infinity to simplify or converge but I don't quite recall.