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.(b) IF f is continuous on R, f(-1) = 10 and f (1) = 20, THEN lim f (sin(x) ) does not exist. x-00 O True O False