Consider the following statements:

1. n(sin^2 1/2 67° –  sin^2 1/2 22°) > 1  for all positive integers n ≥ 2. 

2.If x is any positive real number, then nx > 1 for all positive integers n ≥ 2.

Which of the above statements is/are correct?

Mathematics 2014 NDA Mathematics 2014 NDA 2014

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