Find the Limit $\lim _ { t \rightarrow 0 } \left[ \left( t ^ { 2 } + 3 \right) \mathbf { i } + \cos 2 t \mathbf { j } - 10 \mathbf { k } \right]$

question 151

Multiple Choice

Find the limit $\lim _ { t \rightarrow 0 } \left[ \left( t ^ { 2 } + 3 \right) \mathbf { i } + \cos 2 t \mathbf { j } - 10 \mathbf { k } \right]$
Select the correct answer.

• A) \(4 \mathrm { i }\)
• B) \(4 i + j\)
• C) \(3 \mathbf { i } + \mathbf { j } - 10 \mathbf { k }\)
• D) \(3 \mathbf { i } - 10 \mathbf { k }\)

---

Definitions:

Problem-Solving Tool

A method, technique, or device that assists in identifying solutions to specific issues or challenges.

Productivity Growth

The increase in the efficiency of production of goods and services, measured by the output per unit of input over time.

Managers

Individuals responsible for planning, organizing, leading, and controlling resources and teams to achieve organizational goals.

Zero Defects

A quality management concept aimed at reducing defects and ensuring products meet quality standards by encouraging a culture of continuous improvement.