Which of the Following Series Can Be Shown to Be $\sum _ { n = 1 } ^ { \infty } \frac { 1 } { n ^ { 2 } }$

question 112

Multiple Choice

Which of the following series can be shown to be convergent using the Ratio Test?
1) $\sum _ { n = 1 } ^ { \infty } \frac { 1 } { n ^ { 2 } }$
2) $\sum _ { n = 1 } ^ { \infty } \frac { n } { 3 ^ { n } }$
3) $\sum _ { n = 1 } ^ { \infty } \frac { 2 ^ { n } } { n ! }$

• A)None
• B)1
• C)2
• D)3
• E)1, 2
• F)1, 3
• G)2, 3
• H)1, 2, 3

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