Question

Calculus help, please
Let L be a linear map of \(\mathbb R^n\rightarrow \mathbb R^m\), let \(g:\mathbb R^n\rightarrow \mathbb R^m\) be such that \(||g(x)||\leq M||x||^2\) and let f(x) = L(x) + g(x).
Prove that Df(0) =L

Answer 1

@Concentrationalizing help me though, hehehe

Answer 2

Lol, I don't even know the notation Df(0) and what it's supposed to mean, haha.