The Series $\sum _ { n = 1 } ^ { \infty } \frac { 1 } { n ^ { \alpha } }$

question 86

Multiple Choice

The series $\sum _ { n = 1 } ^ { \infty } \frac { 1 } { n ^ { \alpha } }$ converges if and only if

• A) \(\alpha < 1\)
• B) \(- 1 < \alpha < 1\)
• C) \(\alpha \leq 1\)
• D) \(\alpha > 1\) h. \(- 1 > \alpha > 1\)
• E) \(\alpha \geq 1\)
• F) \(\alpha < - 1\)
• G) \(\alpha > - 1\)

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