1-1-1-1-1-1-1-1-1-2-But-it-diverges-1-1-1-1-1-1-1-1-2-But-it-diverges-1-2-4-8-16-1-But-it-diverges-1-2-3-4-5-6-7-1-12-But-it-d

Question Number 102745 by Dwaipayan Shikari last updated on 10/Jul/20

$$1-1+1-1+1-1+1-1+\dots ..=\frac{1}{2}\{Butitdiverges$$$$1+1+1+1+1+1+1+\dots \dots =-\frac{1}{2}\{Butitdiverges$$$$1+2+4+8+16+\dots ..=-1\{Butitdiverges$$$$1+2+3+4+5+6+7=-\frac{1}{12}\{Butitdiverges$$$$1-2+4-8+\dots ..=\frac{1}{3}\{Butitdiverges$$$$1-2+3-4+5-6+\dots ..=\frac{1}{4}\{Isitadivergent?????$$

Commented by Dwaipayan Shikari last updated on 10/Jul/20

$$Funnygreatsequences$$

Commented by prakash jain last updated on 10/Jul/20

See the link below to get an idea behind theory for calculating these sum of divergent series. https://en.m.wikipedia.org/wiki/Analytic_continuation also this link given some additional info about other summation methods https://en.m.wikipedia.org/wiki/Divergent_series

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