Which of the Following Series Converges?
1) $\sum _ { n = 1 } ^ { \infty } n ^ { - n }$

question 188

Multiple Choice

Which of the following series converges?
1) $\sum _ { n = 1 } ^ { \infty } n ^ { - n }$
2) $\sum _ { n = 1 } ^ { \infty } e ^ { 100 - n }$
3) $\sum _ { n = 1 } ^ { \infty } \frac { n ^ { n } } { n ! }$

• 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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Definitions:

Tumors

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Ulcer

An open sore or lesion, typically found in the stomach or duodenal lining, often caused by infection with H. pylori bacteria or prolonged use of NSAIDs.

Amenorrhea

The absence of menstruation in someone of reproductive age, which can be a sign of health issues.

Orgasm

The climax of sexual stimulation, characterized by intense pleasure, accompanied by a series of involuntary muscle contractions in the genital region.