10 Calculus 2 Math problems

# 1

on Use the estimate IRNI S bN + 1 to a value of N that guarantees that the sum of the first N terms of the alternating series 2 (1)\" 'l' lbn differs from the infinite n = 1 sum by at most the given error. b = i, error 00 : Use your result to determine the convergence of the series. 0 absolutely convergent an+1| an O divergent O inconclusive 00 Use the Ratio Test to determine whether 2 an converges, where an is given. State if the ratio test is inconclusive. n = 1 _ 18" an n! Evaluate the following limit. \"m an+1 l n > 00 an _ _ an+1 E ........................................... E Since IIm ? v 1,; \"select.-- v 5_ n _' an ' ---Se|ect--- i the series is convergent the series is divergent the test is inconclusive 00 Use the Ratio Test to determine whether 2 an converges, where an is given. State if the ratio test is inconclusive. n=1 0 34n(n!)4 (4n)! n=1 Identify an. Evaluate the following limit. a \"m n+1 n )- 00 an . _ an+1 Since lIm ? v 1a ---Select--- v E- n ) 00 an I .: the series is convergent the series is divergent the test is inconclusive Use the Ratio Test to determine whether a converges, where a is given. State if the ratio test is inconclusive. n = 1 00 (2n)! n = 1 Identify an. Evaluate the following limit. lim an+1 1 - 00 an Since lim an+1 ? V LI -Select--- 1 - 00 an Select--- the series is convergent the series is divergent the test is inconclusiveUse the Root Test to determine convergence or divergence (or state that the test is inconclusive). 00 gjf k>oo 0 According to the Root Testr the series converges. 0 According to the Root Test, the series diverges. O The test is inconclusive. Apply the root test to the series. EECn+5)\" \":1 2n 1 Find the limit Iim \"'/|an| . nDDO Use your result to determine the convergence of the series. 0 absolutely convergent O divergent O inconclusive