= Lim (x-sqrt(x² - 3x) =
=Lim (x- sqrt(x² - 3x)(x + sqrt(x² - 3x)/(x + sqrt(x² - 3x))=
=Lim(x² -(x² - 3x))/ (x + sqrt(x² - 3x)) = lim 3x/(x + sqrt(x² - 3x)) =
= Lim 3/(1+sqrt(1-3/x) =3/(1+1) = 3/2 =1,5.
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Найти производную y=sinln(5x^2)
y' = cos(Ln5x²) *(Ln5x²) ' = cos(Ln5x²) * 1/(5x²) *(5x²) ' =
= cos(Ln5x²) * 1/(5x²) *5*(x²) ' = cos(Ln5x²) * 1/(5x²) *5* 2x =
= 2/x*cos(Ln5x²) .