17: This type of series does not look close to geometris series and it cannot be rewritten as a sum of differences, so the telescopis series approach is also not possible. Moreover, we do not know any power series that has k² + 1 in the denominator and we also know no trick that would allows us to make this term disappear. Thus we can conclude that our methods fail, thus the only hope lies in proving that this series diverges. Choose a suitable test.

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