Let a E R. Let f and g be functions defined on R. Is each of the following claims true or false? Prove your answer. If it is true, prove it directly from the epsilon-delta definition of a limit. Hint: often times, the easiest way to prove something is false is by providing a counter example and and proving that counter example satisfies the required conditions.(c) IF f is continuous 011 R, f(72) : 10 and f(2) : 20. THEN lim f(sin(.r)) does not. exist. 1}00 0 True 0 False