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:

Free Associate

A psychoanalytic technique where the patient speaks freely to reveal unconscious thoughts and feelings.

Psychoanalyst

A therapist who practices psychoanalysis, exploring unconscious motives and conflicts in mental disorders.

Talk Therapy

A type of psychotherapy that involves verbal communication between a patient and a therapist to address and treat mental health issues.

Psychoanalysis

A therapeutic approach and theory of psychology developed by Sigmund Freud, which emphasizes exploring unconscious motives and conflicts.