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5) Prove or disprove the following statements: a) There is no smallest positive rational number. b) For any positive integer k, The number log2

5) Prove or disprove the following statements: a) There is no smallest positive rational number. b) For any

5) Prove or disprove the following statements: a) There is no smallest positive rational number. b) For any positive integer k, The number log2 (2k + 1) is irrational. c) For any positive integer k, The number log2 (k) is irrational.

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