Hello. Please, help me with this exercise: Let X be a topological space and let Y be a metric space. Let [tex]f_n: X \rightarrow Y[/tex] be a sequence of continuos functions. Let [tex]x_n[/tex] be a sequence of points of X converging to x. Show that if the sequence [tex](f_n)[/tex] converges uniformly to [tex]f[/tex] then [tex](f_n(x_n))[/tex] converges to f(x). Thanks in advance.