$\displaystyle Series from 1 of ((x-5)^(1/2)) / (2x^2-2)$ How would you go about solving this? I compared to p series of 1/x^3/2 but idk if that's correct.
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Originally Posted by alin1916 $\displaystyle Series from 1 of ((x-5)^(1/2)) / (2x^2-2)$ How would you go about solving this? I compared to p series of 1/x^3/2 but idk if that's correct. What is the question? To determine if the sum converges?
Originally Posted by HallsofIvy What is the question? To determine if the sum converges? Yes, sorry I'm learning how to use this latex system. It's $\displaystyle \Sigma\frac{\sqrt{n-5}}{2n^2-2}$ And yes, to determine if the sum converges or diverges, but I don't have to find the actual sum, just determine convergence. Thanks!
Compare with $\displaystyle \frac{1}{\sqrt{n^3}}$.
Originally Posted by Plato Compare with $\displaystyle \frac{1}{\sqrt{n^3}}$. That converges, I assumed that's Bn and the Original function was An, An>Bn and Bn converges, but it doesn't prove that An converges. Am I missing something?
Use the limit comparison test.
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