# Math Help - dense subsets

1. ## dense subsets

in $C[a,b]$, any dense subset is possible other then set of polynomials.

2. ## Re: dense subsets

Originally Posted by saravananbs
in $C[a,b]$, any dense subset is possible other then set of polynomials.
Yes, the algebra generated by $\mathcal{F}=\{e^{nx}:n\in\mathbb{Z}\}$ contains the constant functions and separate points. Now, use the Stone-Weierstrass theorem.