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1/x = 0 => 1 = 0 ?
1 / x = 0
(1 / x) * x = 0 * x
1 = 0
What is wrong with this?
3 Answers
- 8 years agoFavorite Answer
The first statement implies that x is equal to infinite, becauce we can obtain 0 by dividing some number only if the divider is infinite. The problem is in second step you have cancelled x with x which is infinite divided by infinite, a indeterminate form. You cannot cancel it.
- ?Lv 45 years ago
i visit coach this by contradiction. evidence: permit x be an arbitrary ingredient interior the set of actual numbers such that x =/= 0, x > 0, and a million/x <= 0. Then, a million/x*x <= 0*x. hence, a million <= 0, yet a million > 0. this could be a contradiction. hence, a million/x > 0. ?
- 8 years ago
Just to state a mathematical axiom that 1/x can never be 0, so your statement is wrong
Source(s): Common sense lol!
