Use the Direct Comparison Test to Determine the Convergence or Divergence

question 20

Multiple Choice

Use the Direct Comparison Test to determine the convergence or divergence of the series $$\sum _ { n = 1 } ^ { \infty } \frac { 1 } { 5 ^ { 4 } \sqrt { n } - 1 }$$

• A) The series \(\sum _ { n = 1 } ^ { \infty } \frac { 1 } { 5 ^ { 4 } \sqrt { n } - 1 }\) converges.
• B) The series \(\sum _ { n = 1 } ^ { \infty } \frac { 1 } { 5 ^ { 4 } \sqrt { n } - 1 }\) diverges.

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