Question

lim x стремится к бесконечности (x/x+2)^x/2

Answer 1

lim ((x+2)/(x+2)+(-2)/(x+2))^(x/2) = lim (1+ (-2/(x+2))^((x+2)/-2)*(-2/(x+2))*(x/2))= lim e^ (lim x к бесконечности (-2/(x+2))*(x/2)) = e^lim (-2x/(2x+4)) = e^(-2/2) = e^-1 = 1/e

Как-то так)