101-2007&2008-2-M10-March2008

101-2007&2008-2-M10-March2008 - Kuwait University...

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Kuwait University Math 101 Date: March 25, 2008 Calculators, mobile phones, pagers and all other mobile communication equipments are not allowed Answer the following questions: 1. Evaluate the following limits, if they exist: (a) lim x 1 x 3 1 x 2 3 x +2 . (3 pts.) (b) lim x 1 · x 5 +( x 2 2 x +1)sin μ 1 x 1 ¶¸ . (3 pts.) 2. Find the vertical and horizontal asymptotes, if any, for the graph of f ( x )= x 2 + x x 2 +1 ( x +1) 2 . (4 pts.) 3. Let f ( x )= A + 3 | x 1 | x 2 + x 2 ,i f x< 1 ,x 6 = 2 , B ,i f x =1 , 2 x 1 ,i f x> 1 . (4pts.) F indtheva lueso f A and B, so that f is continuous at x =1 . 4. (a) State The Intermediate Value Theorem. (1 pt.) (b) Use The Intermediate Value Theorem to show that there is a real solution of the equation ( x +1) x 1=1 .( 3 p t s . ) 5. Let f ( x )=
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This note was uploaded on 02/23/2010 for the course CHEMISTRY 0420101 taught by Professor Dep during the Spring '10 term at Kuwait University.

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101-2007&amp;amp;2008-2-M10-March2008 - Kuwait University...

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