14209an3.1-5

14209an3.1-5 - c circlecopyrt Kendra Kilmer February 3,...

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Unformatted text preview: c circlecopyrt Kendra Kilmer February 3, 2009 Section 3.1 - Introduction to Limits Definitions: Left-Hand Limit: We write lim x c f ( x ) = K if f ( x ) is close to K whenever x is close to, but to the left of c . Right-Hand Limit: We write lim x c + f ( x ) = L if f ( x ) is close to L whenever x is close to, but to the right of c . (Two-Sided) Limit: We write lim x c f ( x ) = L if the functional value f ( x ) is close to L whenever x is close, but not equal, to c (on either side of c ). Note: For a (two-sided) limit to exist, the limit from the left and the limit from the right must be equal. That is Example 1: Use the graph below to find the following limits: 4 5 2 3 1-1-2-3-4-5-5-4-3-2-1 2 1 3 4 5 6 6-6-6 f(x) a) lim x 3 f ( x ) f) lim x 1 f ( x ) b) lim x 3 + f ( x ) g) lim x 4 f ( x ) c) lim x 3 f ( x ) h) lim x 4 + f ( x ) d) lim x 1 f ( x ) i) lim x 4 f ( x ) e) lim x 1 + f ( x ) 1 c circlecopyrt Kendra Kilmer February 3, 2009...
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14209an3.1-5 - c circlecopyrt Kendra Kilmer February 3,...

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