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Rev T4 M 272 with Answer Key

# Rev T4 M 272 with Answer Key - MAT 272 1 Test 4 Review Does...

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MAT 272 Test 4 Review 1. Does each of the following geometric series converge or diverge? If any converges, state the sum. a) n 1 n 2 ) 4 1 ( = b) 6 + 2 + + + 9 2 3 2 . . . c) n 3 n n 4 3 ) 1 ( - = 2. Does each of the following p-series converge or diverge? a) = 1 n 3 n 1 b) = 1 n 4 n 1 c) = 1 n n n 4 5 3. Determine if each series below converges or diverges. State the test used and its results. a) = + 1 n n 3 4 n )! 1 n ( b) = + + 1 n 5 4 2 n 8 1 n 3 c). ) 1 n ln( 5 ) 1 ( 3 n 1 n + - = + 4. Graph the first 10 terms of the sequence of partial sums for the series ( 29 = - 1 n 1 n 4 . 3 . What can you conclude as to whether this series converges or diverges? 5. Find the radius of convergence and the interval of convergence of the following series: a) = + - - 0 n n n 1 n ) 3 x ( ) 1 ( b) = + 0 n 1 n 2 ! n x 6. Given that the power series for ln(x) is = + - - 1 n n 1 n n ) 1 x ( ) 1 ( , a) Find the interval of convergence.

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Rev T4 M 272 with Answer Key - MAT 272 1 Test 4 Review Does...

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