Find the Limit $\lim _ { t \rightarrow \infty } \left( \frac { 8 t ^ { 2 } + 7 } { 9 t ^ { 2 } - 7 } \right) e ^ { - 03 t }$

question 34

Multiple Choice

Find the limit.
$\lim _ { t \rightarrow \infty } \left( \frac { 8 t ^ { 2 } + 7 } { 9 t ^ { 2 } - 7 } \right) e ^ { - 03 t }$

• A) 0
• B) \(\frac { 9 } { 8 }\)
• C) \(\frac { 8 } { 9 }\)
• D) \(- \frac { 7 } { 8 }\)

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Definitions:

Need for Affiliation

A person's inherent desire to feel connected to others, seeking social bonds and meaningful relationships.

Need for Achievement

A psychological trait that drives individuals to achieve goals and excel in their endeavors.

Desire to Excel

The strong motivation or ambition to surpass others or oneself in performance or achievement.

Acquired Needs Theory

A motivational theory that categorizes an individual's specific needs into three categories: achievement, affiliation, and power.