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The right-hand limit of f (x), as x approaches a, equals L written: if we can make the value f (x) arbitrarily close to L by taking x to be sufficiently close to the right of a. a L One-Sided Limits

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The left-hand limit of f (x), as x approaches a, equals M written: if we can make the value f (x) arbitrarily close to L by taking x to be sufficiently close to the left of a. a M

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Theorem Find -2-2 6 Note: f (-2) = 1

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Examples 1.1. 2.2. 3.3.

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2.6 Continuous and discontinuous functions A function f is continuous at a point x = a if the following are true: a f(a)f(a)

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1 Continuity at a Point and on an Open Interval. 2 In mathematics, the term continuous has much the same meaning as it has in everyday usage. Informally,

1 Continuity at a Point and on an Open Interval. 2 In mathematics, the term continuous has much the same meaning as it has in everyday usage. Informally,

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