Suppose that x is real number. Prove that x+1/x =2 if and only if x=1. Prove that...

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Advance Math

  1. Suppose that x is real number. Prove that x+1/x =2 if and onlyif x=1.

  2. Prove that there does not exist a smallest positive real number.Is the result still true if we replace ”real number” with”integer”?

  3. Suppose that x is a real number. Use either proof bycontrapositive or proof by contradiction to show that x3 + 5x = 0implies that x = 0.

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