lim (1/(xsinx)-1/x^2)x~0

问题描述:

lim (1/(xsinx)-1/x^2)x~0

lim (1/(xsinx)-1/x^2)
=lim[x-sinx]/[x²sinx]
=lim[x-sinx]/x³
=lim[1-cosx]/3x²
=lim sinx/6x
=1/6