Proove That
1+2+3+4+5+6+7.......=-1/12
(Hint : If u know The person who knew the INFINITY u can solve This QUESTION nd Pahle wale 2 QUESTIONs bhi)
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Hello frnd!
Hope this may help you.! :)
- The sum of this series is -1/12 . This can be proved by Riemann zeta function.
- But ramanujan have proved it by a different method as follows…
- Let,
- X=1+2+3+4+5+6+… ____(1)
- 4X= 4 + 8 + 12 +...____(2)
- =>-3X=1–2+3–4+5–6+… (subtracting 2 from 1)
- =>-3X=1/(1+1)^2 _____by binomial theoram
- =>-3X=1/4
- =>X=-1/12
Proved.
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