or each of the following series, determine whether the series converges or diverges. (Sum from 1 to infinity.) For those that converge, find the value that they converge to. iii. ∑ 1/(n2 + 2n) iv. ∑(√n+2 - √n)

or each of the following series, determine whether the series converges or diverges. (Sum from 1 to infinity.) For those that converge, find the value that they converge to. iii. ∑ 1/(n2 + 2n) iv. ∑(√n+2 - √n)

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.2: Sequences, Series And Summation Notation

Problem 51E

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Question

For each of the following series, determine whether the series converges or diverges. (Sum from 1 to infinity.) For those that converge, find the value that they converge to.

iii. ∑ 1/(n² + 2n)
iv. ∑(√n+2 - √n)

Expert Solution