Identify the Most Appropriate Test to Be Used to Determine $\sum _ { n = 1 } ^ { \infty } \frac { n } { 19 n ^ { 2 } + 1 }$

question 39

Multiple Choice

Identify the most appropriate test to be used to determine whether the series $\sum _ { n = 1 } ^ { \infty } \frac { n } { 19 n ^ { 2 } + 1 }$ converges or diverges.

• A) Limit Comparison Test with \(b _ { \mathrm { n } } = \frac { 1 } { n }\)
• B) Ratio Test
• C) Direct Comparison Test with \(b _ { \mathrm { n } } = \frac { 1 } { n }\)
• D) Root Test
• E) Alternating Series Test

Find average cost functions.

Understand and use least common multiples and denominators in algebraic expressions.

Simplify expressions involving polynomial operations.

Analyze and create models based on real-world data.

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