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 104

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

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Definitions:

Nominal Group

A technique used in group decision-making that involves individuals generating ideas independently before sharing and discussing them collectively.

Illusion Of Agreement

The false perception that consensus has been achieved in a group when, in reality, members may not fully understand or support the decision.

Mediator

An impartial individual who facilitates dialogue between conflicting parties to help them reach a mutual agreement.

Conflicts

Situations where there are disagreements, opposing interests, or disputes between individuals or groups, potentially requiring resolution or mediation.