Consider the equattion X+X+X...(X TIMES).. 2+2=2^2 3+3+3=3^2
similarly x+x+x+x...(x times)=x^2
Now Differentiate on both side with respect to x 1+1+1...x times = 2x =x=2x =>1 =2
What is the mistake here??any idea? [ March 13, 2006: Message edited by: Rambo Prasad ]
Helping hands are much better than the praying lips
posted 9 years ago
The equality is not true (or rather, is not defined) for numbers that are not integers. And since differentiation is defined only for continuous functions -which the one on the LHS is not- it can't be applied here.