lim(x->无穷)sinx-tanx/e^x^3-1

问题描述:

lim(x->无穷)sinx-tanx/e^x^3-1

(x->0)lim sinx-tanx/e^x^3-1
= lim[tanx(cosx-1)]/(e^x^3-1 )
=lim[x*(-1/2x^2)]/x^3
=-1/2