Question

Предел. Высшая математика.

Answer 1

$lim_{x to infty}(sqrt[2019]{x^{2018}+x^{2019}} -x)= lim_{x to infty}((sqrt[2019]{x^{2018}+x^{2019}} -x)(sqrt[2019]{x^{2018}+x^{2019}} +x))=lim_{x to infty}(x^{2018}+x^{2019} -x^2)=lim_{x to infty}(x^2(x^{2016}+x^{2017} -1))=+infty$