prove that x>0 then x+1/x >= 2
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take x = 1 :— 1 + (1/1) = 2 >=2 take x = 2 :— 2 + (1/2) = 2.5 >= 2 and so on. anything bigger than ... x^2 + 1 >2x and then take 2x to left side. x^2 - 2x + 1> 0 and hence can be ...
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