Please give a valid and clear readable proof, thanks

10. Let I be an interval. Suppose that {fa} converges uniformly to f on I and {gm} converges uniformly to g on I. (a) Prove that {fn + 911} converges uniformly to f + g on I. (b) Show that {fngn} converges uniformly to fg if f and g are bounded. (c) Show that { fngn} may not converge uniformly to f g on