Test4_sol

# Test4_sol - MAC 2312-01,02,03 Calculus II Test 4 Dr Jungmin...

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1. Determine whether the sequence converges or diverges. If it converges, Fnd the limit. (5 points each) (a) 1 1 2 +1 , 2 2 2 , 3 3 2 , 4 4 2 , ... a n = n n 2 lim n →∞ a n =0 (b) a n = sin ± 1 n ² lim n →∞ a n = lim n →∞ sin( 1 n ) = sin(lim n →∞ 1 n ) = sin 0 . 2
2. Use Integral test to determine whether the series is convergent or divergent. (10 points) ± n =1 1 n +1 f ( x )= 1 x +1 is positive and continuous. It is decreasing since

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## This note was uploaded on 03/14/2011 for the course MAC 2312 taught by Professor Zhang during the Fall '07 term at FSU.

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Test4_sol - MAC 2312-01,02,03 Calculus II Test 4 Dr Jungmin...

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