(Solved): Determine the convergence or divergence of the series n=1102n55 ...

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Determine the convergence or divergence of the series $$\underset{n=1}{\overset{?}{?}}\frac{10^n}{\sqrt{10^{2n}?55}}$$ $$\begin{array}{ll}\text{ (A) The series is divergent }& \text{ (B) There is not enough information to determine }\end{array}$$ (C) The series is absolutely convergent (D) The series is conditionally convergent Determine the convergence or divergence of the series $$\underset{n=1}{\overset{?}{?}}\frac{(?1{)}^{n?1}(n+42)}{n^2}$$ A) The series is conditionally convergent (B) The series is absolutely convergent C) There is not enough information to determine (D) The series is divergent