lim （x趋向于0） tan5x/3X

2个回答

lim(x->0)[tan(5x)/(3x)]=lim(x->0)[(sin(5x)/(5x))*((5/3)/cos(3x))]
=lim(x->0)[sin(5x)/(5x)]*lim(x->0)[(5/3)/cos(3x)]
=1*(5/3) (应用重要极限lim(t->0)(sint/t)=1)
=5/3.