Question

求极限（ 1／x）-1／sinx

Answer 1

lim(x-->0)（ 1／x）-1／sinx

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

=lim(x-->0)(sinx-x)/(x²)

=lim(x-->0）(cosx-1)/(2x)

=lim(x-->0)(-sinx)/2

=0