Comparing Fractions

Algebra Level 2

For x>100 x > 100 , which of the following is larger?

A=1x1+1x+1orB=1x2+1x+2 A = \dfrac{1}{x-1} + \dfrac{1}{x+1} \quad \text{or} \quad B = \dfrac{1}{x-2} + \dfrac{1}{x+2}

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