2n=1 n2 +00 4-n (a) Determine whether the sequence is 2n+3)n=1 (i) (ii) (iii) (iv) increasing or decreasing; monotone; bounded and convergent. (b) Use the divergent test to show that the series +00 п+1 n=1 diverges. (c) Use the indicated convergence test to determine if the series is convergent or divergent. n+1 (i) Integral Test 50" (ii) Ratio Test n! (d) Find the interval of convergence and radius of convergence of the power series 00

2n=1 n2 +00 4-n (a) Determine whether the sequence is 2n+3)n=1 (i) (ii) (iii) (iv) increasing or decreasing; monotone; bounded and convergent. (b) Use the divergent test to show that the series +00 п+1 n=1 diverges. (c) Use the indicated convergence test to determine if the series is convergent or divergent. n+1 (i) Integral Test 50" (ii) Ratio Test n! (d) Find the interval of convergence and radius of convergence of the power series 00

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter8: Sequences And Series

Section8.3: Geometric Sequences

Problem 98E

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