Which of the Following Series Converges?
1) $\sum _ { n = 1 } ^ { \infty } \sin \left( \frac { 1 } { n ^ { 2 } } \right)$

question 173

Multiple Choice

Which of the following series converges?
1) $\sum _ { n = 1 } ^ { \infty } \sin \left( \frac { 1 } { n ^ { 2 } } \right)$
2) $\sum _ { n = 1 } ^ { \infty } \frac { ( - 1 ) ^ { n } } { \sqrt [ 3 ] { n } }$
3) $\sum _ { n = 1 } ^ { \infty } \left( \frac { 3 n + 1 } { 2 n + 1 } \right) ^ { n }$

• 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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Definitions:

Promiscuous Behavior

Refers to engaging in multiple sexual relationships or activities with little or no emotional commitment.

Biological Needs

Fundamental physiological requirements essential for maintaining life, such as food, water, and shelter.

Tension

The state of being stretched tight, or mental or emotional strain.

Biological Needs

Basic physiological requirements essential for maintaining life, such as food, water, and shelter.