Question

If a series converges does it mean it's differentiable everywhere?

Answer 1

they appear to be difference concepts ....

Answer 2

what are your definitions for convergence and differentiability

Answer 3

Well I'm actually trying to prove that e^x is differentiable everywhere with power functions

Answer 4

The power series of \(e^x\) is a polynomial, and all polynomials belong to the set \(C^n([a,b])\) for all \(n\), i.e. the set of functions with \(n\) continuous derivatives.

Answer 5

Welcome to Open Study!!