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quiz1solutions - f ( x ) = 1 x + 1 . Find lim h f ( x + h...

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R McDougal Name: Math 151N 28 June 2005 Quiz I Answer each question as completely as you can; remember you must show all work for full credit. You may not consult books, notes, or each other for this quiz. Good luck! 1. Suppose h ( x ) = ± cos x if x < 1 x 2 if x 1 and g ( x ) = 2 x + 1. Find (1 point each) a. ( h h )(0) = 1 b. ( h + g )(1) = 4 c. lim x 1 + h ( x ) = 1 d. lim x 1 h ( x ) = dne e. lim x π h ( x ) = π 2 2. Let
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Unformatted text preview: f ( x ) = 1 x + 1 . Find lim h f ( x + h )-f ( x ) h . (5 points) lim h f ( x + h )-f ( x ) h = lim h 1 x + h +1-1 x +1 h = lim h ( x + 1)-( x + h + 1) h ( x + h + 1)( x + 1) = lim h -h h ( x + h + 1)( x + 1) = lim h -1 ( x + h + 1)( x + 1) =-1 ( x + 1) 2 ....
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This note was uploaded on 07/17/2008 for the course MATH 151 taught by Professor Any during the Summer '08 term at Ohio State.

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