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 11 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.