Find the Limit $\lim _ { t \rightarrow 0 } \left[ \left( t ^ { 2 } + 3 \right) \mathbf { i } + \cos 5 t \mathbf { j } - 6 \mathbf { k } \right]$

question 26

Multiple Choice

Find the limit $\lim _ { t \rightarrow 0 } \left[ \left( t ^ { 2 } + 3 \right) \mathbf { i } + \cos 5 t \mathbf { j } - 6 \mathbf { k } \right]$
Select the correct answer.

• A) \(3 \mathbf { i } - 6 \mathbf { k }\)
• B) \(4 \mathbf { i } + \mathbf { j }\)
• C) \(\quad 3 \mathbf { i } + \mathbf { j } - 6 \mathbf { k }\)
• D) \(4 \mathbf { i }\)

---

Definitions:

Neuroticism

A personality trait characterized by anxiety, fear, moodiness, worry, envy, frustration, jealousy, and loneliness.

Emotionally Intelligent Leadership

A leadership approach that emphasizes the ability to understand and manage one's own emotions and the emotions of others to inspire and guide employees effectively.

Model

A representation, often simplified, that is used to explain, describe, or predict the behavior of a system or process.

Big Five Personality Factors

A model describing five broad dimensions of human personality: openness, conscientiousness, extraversion, agreeableness, and neuroticism.