After applying L'Hospital's Rule once, we have lim x - sin(x) XIO 16x3 So, we still have an indeterminate limit of type We recall that L'Hospital's Rule can be applied repeatedly as needed, and we will do so here, applying the rule for a second time. To do so, we need to find additional derivatives. The derivative of x-sin(x) with respect to x is The derivative of 16x3 with respect to x is