Test the Series for Convergence or Divergence $\sum _ { n = 1 } ^ { \infty } \sin \left( \frac { 1 } { n ^ { 4 } } \right)$

question 104

Short Answer

Test the series for convergence or divergence. $\sum _ { n = 1 } ^ { \infty } \sin \left( \frac { 1 } { n ^ { 4 } } \right)$

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Definitions:

Mental Set

A cognitive bias that involves approaching a problem in a particular way, often one that has been successful in the past, which may block or delay the identification of alternative solutions.

Patterns

Regular and predictable forms, orders, or arrangements that can be observed in various contexts, such as behavior, nature, or mathematics.

Reflective Judgment

The process of reasoning through complex issues with uncertainty and synthesizing evidence and opinion to form a justified conclusion.

Critical Thinking

The analysis and evaluation of an issue in order to form a judgment.