Verified answer

Verified answer

делим на x^3 числитель и знаменатель

lim(x->∞) (√(x^6+3x) + x^3)/(7x^3 - 1/x) = lim(x->∞) (√(x^6 + 3x)/x^3 + x^3/x^3)/(7x^3/x^3 - 1/x : x^3) = lim(x->∞) (√(1 + 3/x^5) + 1)/(7 - 1/x^4) = (√(1+0) + 1)/(7 - 0) = 2/7