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 30

Multiple Choice

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

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

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Definitions:

Rephrasing

The act of expressing the same message or text in different words, often to clarify meaning or to achieve greater simplicity.

Implicit Memory

A type of long-term memory that is not conscious but is revealed when performing tasks that depend on prior knowledge or experiences.

Working Memory

A capacity-constrained cognitive mechanism focused on the short-term holding of information to be processed.

Shallow Processing

A cognitive processing strategy that focuses on surface attributes of a stimulus, such as its appearance or sound, rather than its deeper meaning.