Here is an interesting one
x+x+x+x.......x times..=x2
diff. both sides w.r.t x
1+1+1..x times=2x
x=2x
1=2
2305This was given in the Vedas(or Shastras) about a year ago.
You can't differentiate the LHS like that since x is a variable.While differentiating,
\mathbf{\frac{d (x+x+\cdots +x)}{dx}=\frac{d(x\cdot x)}{dx}}
Now comes the mistake,we are taking one of the x out of the product and treating it like a constant.(This is the x given as "x times").Hence we get the result,
\mathbf{\frac{x\cdot dx}{dx}=x}
which is not equal to the RHS.
1I want to include something.When you are writing ...x times x should be a rational number.But when you prove something with variable then it should be valid for all real numbers i mean the whole euclidean space.Hence the proof is invalid.
I want to say something.This is an old method.Think different new.
