2-14 - February 14, 2005 Announcements Reading for this...

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Unformatted text preview: February 14, 2005 Announcements Reading for this Week: 7.8, 8.1 and 8.3. Midterm # 2 is next week! Thursday, February 24th (Covers 7.1 - 8.1) Start doing practice Midterms. Modification to Week 8 homework: Problems 1, 5, 7, 11, 12 and 15 in 8.3 are NOT part of the assigned homework. Today Brief review of LHospitals rule. 7.8 Improper Integrals: How do you compute the area of unbounded regions? 1 LHospitals rule Suppose that f and g are differentiable and that g ( x ) 6 = 0 near a (except possibly at a ). Suppose that lim x a f ( x ) = 0 and lim x a g ( x ) = 0 or that lim x a f ( x ) = and lim x a g ( x ) = . (In other words we have an indeterminate form of the type or .) Then lim x a f ( x ) g ( x ) = lim x a f ( x ) g ( x ) if the limit on the right side exists or is or- . Definition of Improper Integral, Type I 1. If Z t a f ( x ) dx exists for every t a , then Z a f ( x )...
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This note was uploaded on 03/09/2008 for the course CALC 1,2,3 taught by Professor Varies during the Spring '08 term at Lehigh University .

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2-14 - February 14, 2005 Announcements Reading for this...

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