Which One of the Following Series Diverges?
A) $\sum _ { n = 1 } ^ { \infty } \left( \frac { 3 } { \pi } \right) ^ { n }$

question 62

Multiple Choice

Which one of the following series diverges?

• A) \(\sum _ { n = 1 } ^ { \infty } \left( \frac { 3 } { \pi } \right) ^ { n }\)
• B) \(\sum _ { n = 2 } ^ { \infty } \frac { 1 } { \sqrt { n ^ { 3 } + 1 } }\)
• C) \(\sum _ { n = 4 } ^ { \infty } \frac { ( - 1 ) ^ { n } } { \ln n }\)
• D) \(\sum _ { n = 2 } ^ { \infty } \frac { 3 } { n \ln n }\)
• E) \(\sum _ { n = 1 } ^ { \infty } \left( \frac { 1 } { n } - \frac { 1 } { n + 1 } \right)\)
• F) \(\sum _ { n = 1 } ^ { \infty } \left( \frac { 2 } { e } \right) ^ { n }\)
• G) \(\sum _ { n = 1 } ^ { \infty } \frac { 3 } { n ^ { 2 } \ln n }\)
• H) \(\sum _ { n = 1 } ^ { \infty } 3 n ^ { - 3 / 2 }\)

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