求极限lim(x趋于0)sinx/√(1-cosx)

问题描述:

求极限lim(x趋于0)sinx/√(1-cosx)

lim(x->0) sinx/√(1-cosx)
=lim(x->0) sinx/ sin(x/2) (0/0)
=lim(x->0) cosx/[ (1/2)cos(x/2)]
=2