Question

1-√cosx/xsinx 求Lim X趋向于0

Answer 1

lim(x->0)1-√cosx/xsinx

=lim(x->0)1-√cosx/x²

=lim(x->0)(1-√cosx)(1+√cosx)/(1+√cosx)x²

=lim(x->0)(1-cosx)/2x²

=lim(x->0)(x²/2)/2x²

=1/4