Question

7. Use the Integral Test to determine the convergence or divergence of the series. (a) ( sum_{n=2}^{infty} frac{n^{2}}{n^{3}+1} ) (b) ( sum_{n=2}^{infty} frac{3}{(3 n+5)^{4}} ) (c) ( sum_{n=2}^{infty} frac{1}{x ln x} ) (d) ( sum_{n=1}^{infty} frac{1}{sqrt[5]{n}} )

          7. Use the Integral Test to determine the convergence or divergence of the series.
(a) ( sum_{n=2}^{infty} frac{n^{2}}{n^{3}+1} )
(b) ( sum_{n=2}^{infty} frac{3}{(3 n+5)^{4}} )
(c) ( sum_{n=2}^{infty} frac{1}{x ln x} )
(d) ( sum_{n=1}^{infty} frac{1}{sqrt[5]{n}} )

$7. Use the Integral Test to determine the convergence or divergence of the series. (a) ( sumn=2^infty fracn^2n^3+1 ) (b) ( sumn=2^infty frac3(3 n+5)^4 ) (c) ( sumn=2^infty frac1x ln x ) (d) ( sumn=1^infty frac1sqrt[5]n )$