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Consider the series X∞ k=3 √ k/ (k − 1)^3/2 . (a) Determine whether or not...

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Basic Math

Consider the series X∞ k=3 √ k/ (k − 1)^3/2 . (a) Determinewhether or not the series converges or diverges. Show all yourwork! (b) Essay part. Which tests can be applied to determine theconvergence or divergence of the above series. For each testexplain in your own words why and how it can be applied, or why itcannot be applied. (i) (2 points) Divergence Test (ii) LimitComparison test to X∞ k=2 1/k . (iii) Direct Comparison test to X∞k=2 1 /k .

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