1)lim x^2 x->4 2)lim x^2-1//2x^2-x-1 x->1 3)lim x^2-1//2x^2-x-1 x->бесконечности 4)lim x^2-1//2x^2-x-1 x->0 5)lim x^3-1//x^2-1 x^2-1 6)lim sin x4//2x x->0

[latex] lim_{x o 4} x^{2} = 4^{2} =16 \ lim_{x o1} frac{ x^{2} -1}{2 x^{2} -x-1} = frac{ 1 ^{2} -1}{2 *1^{2} -1-1} = frac{0}{0} = extgreater lim_{x o1} frac{ x^{2} -1}{2 x^{2} -x-1}= frac{(x-1)(x+1)}{(x-1)2x+1} [/latex][latex]=frac{x+1}{2x+1} = =frac{1+1}{2*1+1} = frac{2}{3} \ lim_{x o infty} frac{ x^{2} -1}{2 x^{2} -x-1} = frac{infty}{infty} = extgreater lim_{x o infty} frac{ x^{2} -1}{2 x^{2} -x-1}= frac{1}{2} \ lim_{x o 0} frac{ x^{2} -1}{2 x^{2} -x-1}= frac{ -1}{-1}=1 \ 6) lim_{x o0} sin frac{x ^{4} }{2x} =sin frac{ x^{3} }{2} =0[/latex]