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# Error?

1=power(1,2)

2+2=power(2,2)

3+3+3=power(3,2)

4+4+4+4=power(4,2) . . . . .

x+x+x+....(x times)=power(x,2)

Differentiating w.r.t. x

1+1+1+....(x times)=2*x

=> x=2*x

=> 1=2

What's the wrong ? Can you find it?

Note by Sayan Chakrabarty
4 years, 4 months ago

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Sort by:

- 4 years, 4 months ago

x+x+x......is x times which is variable........hence that differeantiating step is wrong

- 4 years, 4 months ago

There is "($$x$$ times)", which relies on $$x$$ too, so you can't just go differentiate term by term on the left hand side. Or something similar. I've read this but cannot find it again.

- 4 years, 4 months ago

Why use division property of equality in the part (x = 2x) if you can isolate the x's instead...

- 4 years, 4 months ago