Question

求极限：lim{x→+∞}[ln(6+2x)]/[ln(1+x^2)]

Answer 1

见图片

Answer 2

lim(x->+∞) [ln(6+2x)]/[ ln(1+x^2)] (∞/∞)
=lim(x->+∞) [2/(6+2x)]/[ 2x/(1+x^2)]
=lim(x->+∞) (1+x^2)/[x(6+2x)]
=lim(x->+∞) (1/x^2 +1)/(6/x+ 2)
=1/2