(2 points)\nuse the root test to determine the convergence or divergence of the given series or state that…

(2 points)\nuse the root test to determine the convergence or divergence of the given series or state that the root test is inconclusive.\n\\(\\sum_{n = 1}^{\\infty}\\frac{1}{10^{n}}\\)\n\\(l=\\lim_{n\\to\\infty}\\sqrtn{|a_{n}|}=\\) (enter inf for \\(\\infty\\).)\n\\(\\sum_{n = 1}^{\\infty}\\frac{1}{10^{n}}\\) is:\na. convergent\nb. divergent\nc. the root 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, 12:07:22 am edt\nwebwork © 1996 - 2025 | theme: math4 | ww_version 2.20 | pg_version 2.20\nthe webwork project
Answer
Answer:
(L = \frac{1}{10}) A. convergent