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Let the function ln f(x) is defined wh...

Let the function `ln f(x)` is defined where `f(x)` exists for `x geq 2 and k` is fixed positive real numbers prove that if `d/(dx) (x.f(x)) geq -k f(x)` then `f(x) geq Ax^(-1-k)` where A is independent of x.

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MOTION-DIFFERENTIAL EQUATION -Exercise 3
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