Question

用洛必达法则怎么得出x-sinx~x^3/6?

Answer 1

由题意，得

lim(x->0)(x-sinx)/(x^3/6)

=lim(x->0)(1-cosx)/(x^2/2)

=lim(x->0)(sinx)/(x)

=lim(x->0)(cosx)/1

=cos0

=1