Sections 12.1-12.6 - ∞ = 1 1 n n n with s 30 . 8....

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Math 3B Honors – Castroconde Name: Review (12.1-12.6) I.D.#: 1. Find a formula for the general term a n of the sequence ,... 5 4 , 4 3 , 3 2 , 2 1 - - 2. Determine if the given sequence converges. a. 2 ) sin( n n a n = b. 4 5 3 2 + - = n n a n 3. Determine whether 1 + = n n a n is monotonic. Is it bounded? 4. Find the sum of each series. a. = + - 1 1 1 1 n n n b. = - 3 5 3 1 n n 5. Find the values of x for which the series = + 1 ) 2 5 ( n n x converges. 6. Determine whether the given series is convergent or divergent. Name all tests used. a. = - 1 3 5 ) 1 ( n n n e. = + 1 5 2 n n n b. = 1 5 ) cos( n n n π f. = + + 1 2 ) 1 ( 1 2 n n n c. = + 1 3 1 2 n n n g. = 1 3 2 ) (ln n n n d. = + - 1 ) 1 ln( ) 1 ( n n n h. = 2 2 ) (ln 1 n n n 7. Estimate the error of approximating
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Unformatted text preview: ∞ = 1 1 n n n with s 30 . 8. Estimate the error of approximating ∑ ∞ =-1 2 1 ) 1 ( n n n with s 10 . 9. Determine whether the given series id absolutely convergent, conditionally convergent, or divergent. Name tests used. a. ∑ ∞ =-2 ln ) 1 ( n n n b. ∑ ∞ = +-1 1 2 1 n n n c. ∑ ∞ = + +-1 1 2 2 3 ) 2 ( ) 1 ( n n n n n 10. Determine whether each of the following series converges. a. ∑ ∞ = 1 2 ) sin( n n n b. n n n n ∑ ∞ = 1 ln c. ∑ ∞ =-1 1 tan n n...
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This note was uploaded on 01/21/2011 for the course PHYS 4A 60865 taught by Professor L. oldewurtel during the Fall '09 term at Irvine Valley College.

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