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  3. consider the series x∞ k=2 2k/ (k − 1)!

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

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Basic Math

Consider the series X∞ k=2 2k/ (k − 1)! . (a) Determine whetheror not the series converges or diverges. Show all your work! (b)Essay part. Which tests can be applied to determine the convergenceor divergence of the above series. For each test explain in yourown words why and how it can be applied, or why it cannot beapplied. (i) Divergence Test (ii) Direct Comparison test to X∞ k=22k /(k − 1). (iii) Ratio Test

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