Consider the function f: R {0} R defined by (a) Evaluate lim (f(x)). x-0- (b)...

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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) x² 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). x→0+ x→0¯ C. No, because lim (f(x)) # lim (f(x)). x-0+ x-0 D. No, because fis undefined at 0. x < 0 x>0 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) x² 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). x→0+ x→0¯ C. No, because lim (f(x)) # lim (f(x)). x-0+ x-0 D. No, because fis undefined at 0. x < 0 x>0