Use Theorem 9.11 to determine the convergence or divergence of the series. $$1 + \frac { 1 } { \sqrt [ 3 ] { 2 ^ { 2 } } } + \frac { 1 } { \sqrt [ 3 ] { 3 ^ { 2 } } } + \frac { 1 } { \sqrt [ 3 ] { 4 ^ { 2 } } } + \frac { 1 } { \sqrt [ 3 ] { 5 ^ { 2 } } } + \cdots$$
A) diverges
B) converges
C) Theorem $9.11$ inconclusive

Question

Quizplus · Accepted Answer

The series is a p-series with $ p = \frac{2}{3} $, which is less than 1, indicating divergence.

Use Theorem 9 A) Diverges B) Converges C) Theorem 9.119.119.11 Inconclusive

Use Theorem 9 A) Diverges
B) Converges
C) Theorem $9.11$ Inconclusive