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

question 60

Multiple Choice

Which of the following series converges?
1) $\sum _ { n = 1 } ^ { \infty } \frac { 1 } { e ^ { n } }$
2) $\sum _ { n = 1 } ^ { \infty } \frac { 1 } { \sqrt { e ^ { n } } }$
3) $\sum _ { n = 1 } ^ { \infty } \frac { 1 } { \sqrt [ 3 ] { e ^ { n } } }$

• 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:

Circumplex Model

A conceptual model used to organize traits or behaviors on a circular continuum, often applied in the assessment of personalities and emotions.

Optimizing Goal

Aimed at finding the best possible solution or outcome in a given situation, often in contrast to satisfying goals which seek a "good enough" result.

Satisficing

A decision-making strategy that involves choosing an option that meets a minimum level of satisfaction rather than optimizing the best possible outcome.

Profitable

Refers to the ability of a business or activity to generate more revenue than the expenses incurred, leading to financial gain.