Recent content by nalgas

Homework Statement I want to prove that the span of $\{x^{2n}:n \geq0\}$ is dense in $C([0,1])$. Furthermore, that the closure of the span of $\{x^{2n+1}:n \geq0\}$ is $\{f \in C([0,1]):f(0) = 0\}$.Homework Equations Is my solution correct? Now I do not know how to tackle the second part...