2Acontinuity_lecture5_8am

2Acontinuity_lecture5_8am - 2A - Lecture 5 (part 2)...

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Unformatted text preview: 2A - Lecture 5 (part 2) Introduction to Section 2.5 Continuity Continuity on [a,b] Informal Definition: A function f is continuous on [a,b] if its graph has no break. Continuity at a point x Informal Definition: A function f is continuous at x if f(x) is defined at x , and f(x) approaches f(x ) as x approaches x x x =2 from either right or left f(x) f(2) x x =2 from right f(x) -1 = f(2) Continuous at x =2 Not continuous at x =2 A drippy faucet adds one milliliter to the volume of water in a tub at precisely one second intervals. Let f(t) be the volume of water in the tub at time t. Choose the correct answer: (a) f is a continuous function at every time t (b) f is continuous for all t other than the precise instants when the water drips into the tub (c) f is not continuous at any time t Question A drippy faucet adds one milliliter to the volume of water in a tub at precisely one second intervals....
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This note was uploaded on 12/07/2010 for the course MATH MATH 2A taught by Professor Alessandrapantano during the Fall '10 term at UC Irvine.

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2Acontinuity_lecture5_8am - 2A - Lecture 5 (part 2)...

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