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Class 10 > Learn Class IX-X Tuition > 1+2+3+........+infinity=?
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1+2+3+........+infinity=?

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Teaching Professional and Biotechnologist

Infinity
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Is infinity
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Expert mathematecian

infinty
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It is infinity. The (-1/12) is a fallacy which even Srinivasa Ramanujam knew. However, his use of such results were in different contexts. Even Euler had such converging results for Diverging series.
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which increases without bound as n goes to infinity. Because the sequence of partial sums fails to converge to a finite limit, the series does not have a sum. 1+2+3+4+\cdots=-\frac{1}{12}.
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1+2+3+.....+n= {n(n+1)}/2 , if n=infinite then sum=infinite in this series
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1+2+3+........= infinity
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Science is a way of living for civilised society

infinity
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Physics & Mathematics Expert for JEE Mains,Advanced & Olympiads with 13 yrs experience

infinity is not a number .... Why the so called mathematicians here say sum of infinite natural numbers is infinity HOW ???? if infinity is a number than it should follow the following rule 0 + x = x ; But we know infinity + infinity = infinity doesn't it contradict 0+x = x because then infinty =0 ?...
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infinity is not a number .... Why the so called mathematicians here say sum of infinite natural numbers is infinity HOW ???? if infinity is a number than it should follow the following rule 0 + x = x ; But we know infinity + infinity = infinity doesn't it contradict 0+x = x because then infinty =0 ? it is -1/12 just read "String theory" Book best book on number system and to find out what are numbers and why infinity is not a number read discrete maths or set theory .. read less
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Seriously !! i cannot understand the answer given by many people ie. -1/12 , how can the sum of positive numbers be negative first of all & how can the sum of infinite nos. be finite. Even if we remove infinity from Qn. then also the answer is infinity because the series is divergent and sum of 1+2+3+4.........infinity-2...
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Seriously !! i cannot understand the answer given by many people ie. -1/12 , how can the sum of positive numbers be negative first of all & how can the sum of infinite nos. be finite. Even if we remove infinity from Qn. then also the answer is infinity because the series is divergent and sum of 1+2+3+4.........infinity-2 + infinity-1 is also infinity. But if the Qn. is 1-2+3-4.............infinity then the answer can be finite. we can split the above series like this: (1+3+5+7......infinity) - (2+4+6+8.....infinity) = [n/2{2+(n-1)2}] - [n/2{4+(n-1)2}] = -n therefore by this way answer can be negative . thankyou. read less
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