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We can group the terms in the divergent infinite sum 1-1+1-1+... to get a value of zero or a value of one, even though the series doesn't converge. This video gives an explanation of why grouping terms in Grandi's series doesn't give the correct answer.
Calculus Problems playlist: • Calculus Problems
0:00 Why the sum diverges
7:33 Why grouping fails
12:57 When grouping is valid
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Music: C418 - Pr Department