Winter 2008 - Exam 1

Winter 2008 - Exam 1 - Midterm 1, Winter 2008, Math 20A...

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Midterm 1, Winter 2008, Math 20A Print name____________________________ CIRCLE THE SECTION IN WHICH YOU ARE ATTENDING: A01 A02 A03 A04 A05 A06 A07 A08 1 pm 2 pm 3 pm 4 pm 5 pm 6 pm 7 pm 8 pm Ben Mike John Anna ± Be sure to show your work. No credit will be given for unsupported answers. ± If a problem statement asks you to provide a solution using a certain method, then you will not receive credit for doing a problem by a different method. As promised, here are some theorems and definitions. You may or may not need these. THE SQUEEZE THEOREM Assume that for c x (in some open interval containing c ), ) ( ) ( ) ( x u x f x l and L x u x l c x c x = = ) ( lim ) ( lim . Then exists and ) ( lim x f c x . ) ( lim L x f c x = THE INTERMEDIATE VALUE THEOREM If is continuous on a closed interval and ) ( x f ] , [ b a ) ( ) ( b f a f , then for every value M between and , there exists at least one value ) ( a f ) ( b f ) , ( b a c such that . ) ( M c f = h a f h a f a f h ) ( ) ( lim ) ( 0 + = 2 3 4 total out of 50 1 1
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1. (10 pts) Let 7 ) ( 3 + = x x f .
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Winter 2008 - Exam 1 - Midterm 1, Winter 2008, Math 20A...

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