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# We multiply infinity by infinity, and what will be the final answer?

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We multiply infinity by infinity, and what will be the final answer?

Dec 9, 2021

#1
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Infinity is not a number. It's much much greater than the largest number you can think of.

Infinity operations are important while solving limits.

Infinity + infinity= infinity

Infinity - infinity = not defined

Infinity × infinity = infinity

Infinity ÷ infinity = not defined.

Dec 9, 2021
edited by Jefferynunn  Dec 9, 2021
#2
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We multiply infinity by infinity, and what will be the final answer?

Infinity is a concept, not a number.  It cannot be used in multiplication.

Dec 9, 2021
#4
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All true, however, there are different 'degrees' of infinity.   My wording is probably not correct.

$$\displaystyle \lim_{x\rightarrow \infty}\;\;3x=\infty \\ \displaystyle \lim_{x\rightarrow \infty}\;\;x=\infty \\ but\\ \displaystyle \lim_{x\rightarrow \infty}\;\;\frac{3x}{x}=3$$

Dec 9, 2021
edited by Melody  Dec 9, 2021