Mathematics : Summation of 1 - 1 + 1 - 1

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Consider,
S = 1 - 1 + 1 - 1 + . . .
1 - S = 1 - (1 - 1 + 1 - 1 + . . .)
1 - S = 1 - 1 + 1 - 1 + 1 - . . .
1 - S = S

Here left S and right S are different. If we take odd number of terms then left S is 1 and right S is 0. If we take even number of terms then left S is 0 and right S is 1.

Thank you.
Praveen Kumar Sirohiwal

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