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Byju's Answer
Standard XII
Mathematics
Definition of Functions
Prove that x=...
Question
Prove that x=2x
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Solution
x=2x
Which is true only for x=0, as shown below:
0=2x−x=x
(3) is the statement you have proved for all real x not that x=2x which is trivially only true for a certain value. (x=0)
So, this is not logically correct.
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