lim无穷ln(1+3x2)/ln(3+x4)求极限!
问题描述：
lim无穷ln(1+3x2)/ln(3+x4)求极限!
答
lim(x->∞)ln(1+3x^2)/ln(3+x^4) ( ∞/ ∞)
=lim(x->∞)[6x/(1+3x^2)]/[4x^3/(3+x^4)]
=lim(x->∞)3x(3+x^4)/[2x^3(1+3x^2)]
=lim(x->∞)3(3/x^4+1)/[2(1/x^2+3)]
=3/6
=1/2不用