求解lim(1+2x+3x^2)/(6x^2)+lim(sinx^2/(2x^2)前一个x趋近于无限,后一个x趋近于0
问题描述：
求解lim(1+2x+3x^2)/(6x^2)+lim(sinx^2/(2x^2)前一个x趋近于无限,后一个x趋近于0
答
lim(x-> ∞)(1+2x+3x^2)/(6x^2)
=lim(x-> ∞)(1/x^2+2/x+3)/6
=1/2
lim(x->0)(sinx)^2/(2x^2) (0/0)
=lim(x->0)sin(2x)/(4x)
=lim(x->0)(2x)/(4x)
=1/2
lim(x-> ∞)(1+2x+3x^2)/(6x^2) +lim(x->0)(sinx)^2/(2x^2)
=1/2+1/2
=1