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Examine the convergence of \[{\left(\frac{2^2}{1^2}-\frac{2}{1}\right)}^{-1}+{\left(\frac{3^3}{2^3}-\frac{3}{2}\right)}^{-2}+{\left(\frac{4^4}{3^4}-\frac{4}{3}\right)}^{-3}+?\ ...\]
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This question is not part of the revised syllabus scheme. So we thought you might not want to study it either!

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