Consider the function f: R\ {0} R defined by (a) Evaluate lim (f(x)). x-0- (b) Evaluate lim (f(x)). X-0+ f(x) = x arctan(x) x x. In (x), (c) Is f continuous at x = 0? A. Yes, because lim (f(x)) = lim (f(x)). x-0+ x-0- B. Yes, because lim (f(x)) : = lim (f(x)) = f(0). x0+ x0 C. No, because lim (f(x)) # lim (f(x)). x-0+ x-0 D. No, because fis undefined at 0. x < 0 x>0