Solution of IDZ Ryabushko 12.1 - Variant 9

Section: Chapter 12. Series
Topic: Numerical Series and Convergence Tests
Description: Investigation of numerical series for convergence: finding the sum of a series, applying the necessary condition, comparison tests, d'Alembert's test, Cauchy's root and integral tests, investigation of alternating series for conditional and absolute convergence.

Tasks:
1. Prove the convergence of the series and find its sum (1)
2. Investigate the convergence of series with positive terms (2–6)
3. Investigate the alternating series for convergence and absolute convergence (7–8)

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