(2 points)\napply the ratio test to determine convergence or divergence, or state that the ratio test is…

(2 points)\napply the ratio test to determine convergence or divergence, or state that the ratio test is inconclusive.\n\\(\\sum_{n = 1}^{\\infty}\\frac{n^{5}}{n^{6}+4}\\)\n\\(\\rho=lim_{n\\to\\infty}\\left|\\frac{a_{n + 1}}{a_{n}}\\right|=\\) (enter inf for \\(\\infty\\).)\n\\(\\sum_{n = 1}^{\\infty}\\frac{n^{5}}{n^{6}+4}\\) is:\na. convergent\nb. divergent\nc. the ratio test is inconclusive\nnote: you can earn partial credit on this problem.\nnote: you are in the reduced scoring period. all work counts for 50% of the original.\npreview my answers\nsubmit answers\nyou have attempted this problem 0 times.\nyou have 10 attempts remaining.\npage generated october 13, 2025, 12:06:32 am edt\nwebwork © 1996 - 2025 | theme: math4 | ww_version: 2.20 | pg_version: 2.20\nthe webwork project

(2 points)\napply the ratio test to determine convergence or divergence, or state that the ratio test is inconclusive.\n\\(\\sum_{n = 1}^{\\infty}\\frac{n^{5}}{n^{6}+4}\\)\n\\(\\rho=lim_{n\\to\\infty}\\left|\\frac{a_{n + 1}}{a_{n}}\\right|=\\) (enter inf for \\(\\infty\\).)\n\\(\\sum_{n = 1}^{\\infty}\\frac{n^{5}}{n^{6}+4}\\) is:\na. convergent\nb. divergent\nc. the ratio test is inconclusive\nnote: you can earn partial credit on this problem.\nnote: you are in the reduced scoring period. all work counts for 50% of the original.\npreview my answers\nsubmit answers\nyou have attempted this problem 0 times.\nyou have 10 attempts remaining.\npage generated october 13, 2025, 12:06:32 am edt\nwebwork © 1996 - 2025 | theme: math4 | ww_version: 2.20 | pg_version: 2.20\nthe webwork project

Answer

Answer:

  1. ( \rho = 1 )
  2. C. The Ratio Test is inconclusive