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[" 46.Let "f(x)" be differentiable on th...

[" 46.Let "f(x)" be differentiable on the interval "(0,oo)" such that "f(1)=1" ,and "],[qquad 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)/(ux)+(4x^(2))/(3)," (C) "(-1)/(x)+(2)/(x^(2))," (D) "(1)/(x)]]

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