Math151OldSols4

# Math151OldSols4 - QUIZ ON SECTIONS 11.6-8 SOLUTIONS MATH...

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QUIZ ON SECTIONS 11.6-8 SOLUTIONS MATH 151 – SPRING 2003 – KUNIYUKI PART 1: GRADED OUT OF 80 POINTS; SCORE CUT IN HALF (80 à 40) PART 2: 60 POINTS TOTAL ON PARTS 1 AND 2: 100 POINTS (PART 1) Fill in the table below. You may use the back for [ungraded] scratch work. Simplify where appropriate, but you do not have to compute factorials. fx () First four nonzero terms of the Maclaurin series Summation notation form for the Maclaurin series Interval of convergence, I , for the Maclaurin series 1 1 - x 1 23 + +++ xx x ... x n n = Â 0 - 11 , sin x x xxx -+-+ 357 !!! ... - + + = Â 1 21 0 n n n x n ! -• • , cos x 1 246 ... - = Â 1 2 2 0 n n n x n ! -• • , tan - 1 x x ... - + + = Â 1 0 n n n x n - [] , ln 1 + x x - +-+ 234 ... - + + = Â 1 1 1 0 n n n x n , or - - = Â 1 1 1 n n n x n - ( ] , e x 1 + x xx !! ... x n n n ! = Â 0 -• • , sinh x x ++++ ... x n n n 0 + = + Â ! -• • , cosh x 1 ... x n n n 2 0 2 = Â ! -• • ,

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(PART 2) 1) Find the interval of convergence for 24 2 1 n n n x n - () = Â . (24 points) Let u x n n n n = - 2 . L u u x n x n x n n x x x n n n n n n n n n n n n n n n n n n n n n = = - + - = - + - = - - + = Æ• + + + + + + + Æ lim lim lim lim lim 1 1 1 2 2 1 1 2 2 1 1 2 2 1
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## This note was uploaded on 09/08/2011 for the course MATH 151 taught by Professor Bray during the Spring '07 term at Mesa CC.

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Math151OldSols4 - QUIZ ON SECTIONS 11.6-8 SOLUTIONS MATH...

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