# Recall that we say that lim f (x) = L if the (output) values, f(x), of ƒ get arbitrarily close to L as its input values approach a. “Arbitrarily close" means "as close as anyone might ever mandate", very loosely speaking. Please label the following statements as being true or false. Make sure you support your answer with a sketch. (a) If a is not in the domain of f , then lim f(x) is undefined. (b) If lim f() = 0 and lim f(x) = 3, lim f (x) might still be defined. x-a+ (c) If lim f(x) = f(a), then the graph of y = f (x) is continuous at x = a. %3D

Question help_outlineImage TranscriptioncloseRecall that we say that lim f (x) = L if the (output) values, f(x), of ƒ get arbitrarily close to L as its input values approach a. “Arbitrarily close" means "as close as anyone might ever mandate", very loosely speaking. Please label the following statements as being true or false. Make sure you support your answer with a sketch. (a) If a is not in the domain of f , then lim f(x) is undefined. (b) If lim f() = 0 and lim f(x) = 3, lim f (x) might still be defined. x-a+ (c) If lim f(x) = f(a), then the graph of y = f (x) is continuous at x = a. %3D fullscreen

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MathCalculus

### Limits 