fn,f are all continuous on [0,1]
$\displaystyle f_{n}(x) \longrightarrow f(x) $ pointwisely
and
$\displaystyle \int_{0}^{1}{f_{n}(x)}\longrightarrow\int_{0}^{1}{ f(x)} $
any example that fn does not converge uniformly to f ?
fn,f are all continuous on [0,1]
$\displaystyle f_{n}(x) \longrightarrow f(x) $ pointwisely
and
$\displaystyle \int_{0}^{1}{f_{n}(x)}\longrightarrow\int_{0}^{1}{ f(x)} $
any example that fn does not converge uniformly to f ?