242sugprob10

# 242sugprob10 - X n =1 3 n ( x + 4) n n . L2. Find the...

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Math 242 Suggested lab/discussion problems, Nov 8 and 10 D1. Does the series converge or diverge? X n =1 n 2 - 1 n 3 + 2 n 2 + 5 D2. Find the interval of convergence of the power series X n =0 x n n ! . 1

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D3. Find the interval of convergence of the power series X n =1 ( - 2) n x n n 1 / 4 . D4. Find the interval of convergence of the power series X n =0 ( x - 2) n n 2 + 1 . 2
D5. Find a power series representation for the function f ( x ) = 1 5 - x . D6. Does the series X n =1 sin ± 1 n 2 ² converge or diverge? 3

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L1. Find the interval of convergence of the power series

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Unformatted text preview: X n =1 3 n ( x + 4) n n . L2. Find the interval of convergence of the power series X n =1 (3 x-2) n n 3 n . 4 L3. Does the series X n =1 e 1 /n n 2 converge or diverge? L4. Does the series X n =2 1 (ln n ) ln n converge or diverge? 5 L5. Find a power series representation for the function f ( x ) = x 2 cos x . L6. Find the interval of convergence of the power series X n =0 (-1) n x 2 n (2 n )! . 6...
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## This note was uploaded on 12/07/2011 for the course MATH 242 taught by Professor Wang during the Spring '08 term at University of Delaware.

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242sugprob10 - X n =1 3 n ( x + 4) n n . L2. Find the...

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