Methods of Solving Sequence and Series Problems by Ellina Grigorieva

Methods of Solving Sequence and Series Problems by Ellina Grigorieva

Author:Ellina Grigorieva
Language: eng
Format: epub, pdf
Publisher: Springer International Publishing, Cham


Note. Remember that if = exists, then an improper integral is convergent and if the limit at does not exist, then the integral is divergent .

If the Cauchy Integral Convergence Test is applicable, then it allows us to find for convergent series the lower and upper boundary for the infinite sum. Let us see an application of Theorem 3.7 by solving Problem 103.

Problem 103

For the following series: . Find the n th term of the series. Investigate whether or not the given infinite series is convergent or divergent . When you are making your statement, provide the corresponding theorem that you used.



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