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Prove rigorously that an infinite sum of rationals can yield an irrational.
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I know how to do a case-by-case proof, but I'd like to see one that is true for all cases where an infinite sum of rationals yield an irrational.
"can" means you only need one example. so there would be no "general" way to do it because it is not true in general
You're right. I should have said "demonstrate rigorously the conditions under which an infinite sum of rationals will yield an irrational".
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