2.(x趋向于0)
=limx^3/(x-sinx)
=lim3x^2/(1-cosx)
=lim6x/sinx
=6
3.
=lim(ln(x+1)-x)/xln(x+1)
=lim(ln(x+1)-x)/x^2
=lim(1/(x+1)-1)/2x
=lim(-x)/2x(x+1)
=-lim1/2(x+1)
=-1/2
4.
先取对数,得
1/x*ln(lnx)
limln(lnx)/x
=lim1/lnx*1/x
=lim1/(xlnx)
=0
所以
原式=e^0=1
2.(x趋向于0)
=limx^3/(x-sinx)
=lim3x^2/(1-cosx)
=lim6x/sinx
=6
3.
=lim(ln(x+1)-x)/xln(x+1)
=lim(ln(x+1)-x)/x^2
=lim(1/(x+1)-1)/2x
=lim(-x)/2x(x+1)
=-lim1/2(x+1)
=-1/2
4.
先取对数,得
1/x*ln(lnx)
limln(lnx)/x
=lim1/lnx*1/x
=lim1/(xlnx)
=0
所以
原式=e^0=1