Math, asked by enrique, 1 year ago

Find the sum of the infinite series ......
1-1+1-1+1-1................ Infinite ?

Answers

Answered by kvnmurty
8
1-1+1-1+1-1+ ...... infinity

The sum of the series is indeterminate. It does not converge. 
So there is no answer.  It is like  sin x   as  x reaches infinity.

But we can say that the sum is bounded between : 0 & 1 as the sum toggles between 0 and 1.


kvnmurty: do this way: Sum = (1-1) + (1-1) + (1-1) + (1-1) + ....
kvnmurty: sum = 0 + 0 + 0 + 0 + 0 .... = 0
kvnmurty: if you do another way, you get another answer... so answer is not a convergent value.
enrique: But we can reduce the whole sir see IIT her 2012 question previous years then u got a logic to do why so I reduce the whole series not to find answer
enrique: 5:15
Sum of 1-1+1-1+.... is 0.5
YouTube - Feb 2, 2014
See this video on youtube it will help you how it is 1/2
enrique: You are totally incorrect sir
enrique: It's a Grady series
enrique: https://m.youtube.com/watch?v=PCu_BNNI5x4
enrique: It is the link of that video
enrique: Grendies series
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