Use the Direct Comparison Test to Determine the Convergence or Divergence

question 121

Multiple Choice

Use the Direct Comparison Test to determine the convergence or divergence of the series $\sum _ { n = 1 } ^ { \infty } \frac { 7 n } { \left( n ^ { 2 } + 7 \right) ^ { 2 } }$ .

• A)
• The series \(\sum _ { n = 1 } ^ { \infty } \frac { 7 n } { \left( n ^ { 2 } + 7 \right) ^ { 2 } }\) diverges.
• B)
• The series \(\sum _ { n = 1 } ^ { \infty } \frac { 7 n } { \left( n ^ { 2 } + 7 \right) ^ { 2 } }\) converges.

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