He's wrong, right?

Level 2

My friend tried to prove 0 0 \frac{0}{0} =0 this way:
Step 1: Let x=0. Since x=0, x 3 − x 2 x^3-x^2 =0
Step 2: x 3 − x 2 x^3-x^2 /x= x 2 − x x^2-x
Step 3: As x=0, x 2 − x x^2-x =0
Thus, 0 0 \frac{0}{0} =0
He is wrong, which step is he wrong in? (Take the first step he is wrong in)

Step 3 Step 1 He can be proven wrong only with extra steps He is not wrong, he has proved what 0/0 is equal to. Step 2

Kenny O. by Kenny O. , 17, Singapore

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1 solution

Kenny O.
Oct 5, 2017

If we divide x 2 − x x^2-x by x again, we get x-1 which is equal to -1. -1 is not equal to 0, meaning he is wrong.
We cannot use the fact that he divided by 0 because he is trying to show what is the result of being divided by 0.

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