Functions on sobolev space $ W^{1,p}$

Question

Suppose $ u \in W^{1,p}(R^n) $ , and u is continuous. Then is it true that $ |u(x)| \to 0 $ as $|x| \to \infty $. It is true that, if $$ u \in W^{1,p}(R^n) \text{ then }||u||_{W^{1,p}(R^n\setminus B(0,R))} \to 0 \text{ as } R \to \infty.$$ How to show that $|u(x)| \to 0$ as $|x| \to \infty$.