# Analysis – Compactness of the metric space.

Consider the space $$C ([0,1]$$ Equipped with the uniform standard.
Find a sequence of functions $${g_n }$$ in $$C ([0,1]$$ so that $$overline { {g_n }}$$ It's compact, but $$g_n$$ It does not converge uniformly.

I'm confused about $$overline { {g_n }}$$ and how to prove its compactness

Thank you!