Mean Green Math

Horrible False Analogy – Mean Green Math

I had forgotten the precise assumptions on uniform convergence that guarantees that an infinite series can be differentiated term by term, so that one can safely conclude $latex \displaystyle \frac{d}{dx} \sum_{n=1}^\infty f_n(x) = \sum_{n=1}^\infty f_n'(x)$. This was part of my studies in real analysis as a student, so I remembered there was a theorem but…