Question

Срочно помогите хоть что то

Answer 1

$intlimits { frac{x^2+1}{x-1} } , dx = intlimits { frac{x^2-1+2}{x-1} } , dx = intlimits { frac{x^2-1}{x-1} } , dx +2intlimits { frac{dx}{x-1} } , dx= \ intlimits {x+1} , dx +2intlimits { frac{dx}{x-1} } , dx = frac{x^2}{2}+x+2ln|x-1|+C$

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$lim_{n to infty} ( frac{x^3}{x^2-3}-x ) = lim_{n to infty} ( frac{x^3-x^3+3x}{x^2-3} ) = lim_{n to infty} ( frac{3x}{x^2-3} ) = \ lim_{n to infty} frac{x^2( frac{3}{x} )}{x^2(1- frac{3}{x^2} )} = frac{0}{1} =0$