Re: Sum this!
vikraman.choudhury@xxxxxxxxx wrote:
What is the sum of all real numbers from 1 to 10?
What is the sum of all rational numbers from 1 to 10?
What is the sum of all irrational numbers from 1 to 10?
You didn't specify the *series* you want summed.
However, the natural way of defining an unordered sum
would give 'infinity' for each of these. This follows
easily from the fact that each set contains infinitely
many numbers greater than 1 and no numbers less than 0.
Dave L. Renfro
.
Relevant Pages
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