What is the difference between differentiable and continuous I have always treated them as the same thing But recently, some people have told me that the two terms are different So now I am wondering, What is the difference between "differentiable" and "
is bounded linear operator necessarily continuous? This property is unrelated to the completeness of the domain or range, but instead only to the linear nature of the operator Yes, a linear operator (between normed spaces) is bounded if and only if it is continuous