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[" Let "f(x)" be differentiable on the i...

[" Let "f(x)" be differentiable on the interval "(0,oo)" such that "],[f(1)=1," and "lim_(t rarr x)(t^(2)f(x)-x^(2)f(t))/(t-x)=1" for each "x>0." Then,"],[f(x)" is "],[[" (a) "(1)/(3x)+(2x^(2))/(3)," (b) "-(1)/(3x)+(4x^(2))/(3)(c)-(1)/(x)+(2)/(x^(2))," (d) "(1)/(x)]]

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