Question

Sum of all natural numbers upto infinity given by?

Answer 1

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Answer 2

Let S=1+2+3+4+5+6+7+8+_ _ _ infinite

But 2+3+4=9

5+6+7=18

Putting the values

S=1+9+18_ _ _ infinite

S=1+9(1+2+3+_ _ _ infinite)

S=1+9×S

S=1+9S

-1=8S

S=-1/8

Hence,S=-1/8