" (iii) "(x^(2)-6)/(3x)" ."

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Differentiate the following from ab-initio (or from definition) : (x^(2)-6)/(3x), x ne 0

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(3) int(x^(2)-5x+6)/(x-3)dx

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On dividing (5x^2-6x) -:3x we obtain:

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lim_(x rarr3)(x^(2)-x-6)/(x^(3)-3x^(2)+x-3)