Determine whether
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- Use the ratio test to determine whether a_n converges,where a_n is given in the following problems. State if the ratio test is inconclusive.a_n = (2n)!/(n/e)^2n (It's question 362 in the image)arrow_forward9. Estimate the value of the convergent series k=1 (-1)kk² k! + 2k with an absolute error less than 10-5.arrow_forwardnº +2 Use a comparison test to determine if the series 4. converges or diverges. n=1arrow_forward
- Show that the sequence (x)=(1/√n) convergence.arrow_forwardDoes E (1) converge? Is the convergence 23 convergeS IS the convergence X-3 absolute ar can ditional?arrow_forwardIdentify two subsequences of ((−1)^n + 1/n) which converge to different limits. You should include explicit formulas for the selector functions.Pick one of your two subsequences and write a proof of the fact that it converges.arrow_forward
- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,