Test the Following Series for Convergence or Divergence $\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n } \frac { n ^ { 2 } } { n ^ { 2 } + 1 }$

question 141

Short Answer

Test the following series for convergence or divergence: $\sum _ { n = 1 } ^ { \infty } ( - 1 ) ^ { n } \frac { n ^ { 2 } } { n ^ { 2 } + 1 }$ .

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Definitions:

Public Health Policy

Guidelines, regulations, and actions designed by government or non-government organizations to achieve specific health care goals within a society.

Risk Assessment

The process of evaluating the potential risks that may be involved in a projected activity or undertaking.

Systematic Review

A research method that collects and critically analyzes multiple research studies or papers on a specific topic.

Publication Bias

The tendency for positive or significant results to be published more frequently than negative or non-significant findings, potentially skewing the scientific literature.