Section 10.11 : Root Test
For each of the following series determine if the series converges or diverges.
- \( \displaystyle \sum\limits_{n = 1}^\infty {{{\left( {\frac{{3n + 1}}{{4 - 2n}}} \right)}^{2n}}} \) Solution
- \( \displaystyle \sum\limits_{n = 0}^\infty {\frac{{{n^{1 - 3n}}}}{{{4^{2n}}}}} \) Solution
- \( \displaystyle \sum\limits_{n = 4}^\infty {\frac{{{{\left( { - 5} \right)}^{1 + 2n}}}}{{{2^{5n - 3}}}}} \) Solution