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Unformatted text preview: Lesson 2 – Onesided Limits and Continuity 1 Lesson 2 OneSided Limits and Continuity OneSided Limits Sometimes we are only interested in the behavior of a function when we look from one side and not from the other. Example 1: Consider the function x x x f = ) ( . Find ). ( lim x f x → Now suppose we are only interested in looking at the values of x that are bigger than 0. In this case, we are looking at a onesided limit . We write ) ( lim x f x + → . This is called a righthand limit, because we are looking at values on the right side of the target number. In this case, If we are interested in looking only at the values of x that are smaller than 0, then we would be finding the lefthand limit. The values of x that are smaller than 0 are to the left of 0 on the number line, hence the name. We write ) ( lim x f x → . In this case, Lesson 2 – Onesided Limits and Continuity 2 Our definition of a limit from the last lesson is consistent with this information. We say that L x f a x = → ) ( lim , if and only if the function approaches the same value,...
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This note was uploaded on 02/15/2011 for the course MATH 1313 taught by Professor Constante during the Fall '08 term at University of Houston.
 Fall '08
 CONSTANTE
 Continuity, Limits

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