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211-2006&2007-1-M10-November2006

211-2006&2007-1-M10-November2006 - Kuwait...

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Unformatted text preview: Kuwait University Math. 211 November 9, 2006 Dept. of Math. 85 Comp. Sc; First Midterm Exam Duration 90 Minutes Calculators and mobile phones are not allowed Answer the following questions. 1. (2 Points each) Evaluate the following limits (0) Lenten (5;) (b) 3520 (‘l 2. (3 Points each) Determine whether each of the following series is convergent or divergent. If the series is convergent find its sum. °° 2 (a) En2+4n+3 M271 l+lnn) n=1 3. (3 Points each) Determine whether each of the following series is absolutely convergent, conditionally convergent, or divergent. (a) Z— M1111 ) i flcos 2n ”:2 2”lnn 4. (3 Points) Find the interval of convergence of the power series °° (22 3)” 112:15”\/2n+1 5. (3 Points) Find the Taylor series of f($) = sins: at :c = Gala 1.2 6. (3 Points) Find a power series representation of f (3:) = 8 + 3 I ater. State the radius of convergence .9 ...
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