Determine Whether the Sequence Defined By $a _ { n } = \frac { n ^ { 2 } - 5 } { 6 n ^ { 2 } + 1 }$

question 156

Short Answer

Determine whether the sequence defined by $a _ { n } = \frac { n ^ { 2 } - 5 } { 6 n ^ { 2 } + 1 }$ converges or diverges. If it converges find its limit.

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Definitions:

Strengths And Limitations

The positive attributes and weaknesses or restrictions inherent to a person, system, or method.

Education

A process of facilitating learning, acquiring knowledge, skills, values, beliefs, and habits through various methods such as teaching, training, storytelling, discussion, and directed research.

Bowles And Gintis

Economists and scholars known for their work on the relationship between education and the economy, particularly the "correspondence principle" which suggests that the structure and values of the educational system reflect those of the labor market.

Conflict Theory

A sociological perspective that views social life as a competition, highlighting the struggles between groups for limited resources.