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Solved in 2 steps with 2 images
- First image :Decompose the given function into a Macleron series and find the interval of convergence in the series Second image:Select the appropriate function, decompose it in series, and calculate the given quantity to the specified accuracyIf series converges find its sumFind the radius of convergence and the interval of convergence for the power series 1/4 + (x+3)/5 + ((x+3)^2)/6 + ...
- 1) Determine whether the sequence {an} converges or diverges: 2) Determine whether the series Σ an converges or diverges:Study the convergence of the series (image)Examine the convergence of the series. (image1) Which test is most appropriate for this series? ..?... (divergence test, geometric series test, p-series test, integral test, comparison test, alternating series test, ratio test, root test) If the ratio test is attempted: (image2)=? (Note: If infinite, write INF, if there is no limit, write DNE.) Since the limit is (≤ , ≥, =, >, <) ...?... , we say about the series according to the Ratio test: ..?.. (absolutely convergent, conditionally convergent, divergent
- Find a power series representation for the function. Determine the interval of convergence. f(x) = 1/(6+x)A series converges to a sum of 13. The first term has a value of 3. Algebraically determine the exact value of the common ratio.pls provide a detailed solution using geometric series test and integral test find out if the series converge or diverge