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Ask iit jee aieee pet cbse icse state board community Discussion Response Post to: The limit paradox
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elessar_iitkgp (2220)

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Olaaa!! Perrrfect answer. 380  [540 rates]

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The addition on the left hand side makes sense only if x is an +ve integer, for we can add something to itself only in steps of +ve integers
So the sum = x2
But the graph of this function will be a collection of points at integral values of x
So the sum isn't differentiable.
Thats the fallacy ...we are differentiating something that is non differentiable



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