Easy

Number Theory Level pending

Find the product of all real numbers


The answer is 0.

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1 solution

As 0 is included in real numbers, and 0 multiplied by any other number is always 0, answer must be 0.

That statement is not immediately obvious, because you are taking the uncountable product of terms.

For example, the uncountable sum of 0's can be non-zero, even though the countable sum of 0's is 0.

Calvin Lin Staff - 6 years, 4 months ago

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