16c_m3_S02_condenced

16c_m3_S02_condenced - AMTH 16C TEST 3 Spring 2002 1.( 18...

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AMTH 16C TEST 3 Spring 2002 1.( 18 pts) Assume that X n =1 a n is a convergent series , and X n =1 b n is a divergent series. Let X n =1 c n be a series with partial sums S k . Indicate the convergence or divergence of X n =1 c n by putting C for convergence , D for divergence and N for no conclusion can be made in the blank space provided for each part. i) 0 < c n < b n .............. ii) 0 < c n < a n .............. iii) 0 < a n < c n .............. iv) 0 < b n < c n .............. v) lim n →∞ S n = 5 .............. vi) lim n →∞ S n = .............. vii) lim n →∞ c n = 0 .............. viii) lim n →∞ c n = 1 .............. ix) lim n →∞ c n = 1 2 .............. x) lim n →∞ c n = 2 .............. xi) lim n →∞ c n +1 c n = 1 2 .............. xii) lim n →∞ c n +1 c n = 0 . ............. xiii) lim n →∞ c n +1 c n = 2 .............. xiv) lim n →∞ c n +1 c n = 1 . ............. xv)
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This note was uploaded on 05/31/2008 for the course MATH 16C taught by Professor Dad-del during the Spring '08 term at UC Davis.

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