Why cant we group the terms in 1-1+1-1+... ? @MuPrimeMath
Why cant we group the terms in 1-1+1-1+... ?  @MuPrimeMath
Uploaded February 2022 | Updated September 2026, 1 week ago
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: youtube.com/playlist?list=PLug5ZIRrShJGFne7YhMi-4eYsUKzkITao

0:00 Why the sum diverges
7:33 Why grouping fails
12:57 When grouping is valid

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Why can't we group the terms in 1-1+1-1+... ?

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