$$\text { Use the linear approximation } ( 1 + x ) ^ { k } \approx 1 + k x \text {, as specified. }$$

question 230

Multiple Choice

$$\text { Use the linear approximation } ( 1 + x ) ^ { k } \approx 1 + k x \text {, as specified. }$$
- $$\text { Estimate } ( 1.0002 ) ^ { 50 }$$

• A) 1.002
• B) 1.004
• C) 1.02
• D) 1.01

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Definitions:

Critical Thinking

The objective analysis and evaluation of an issue in order to form a judgment, crucial in problem solving and decision-making processes.

Reasoned Thought

The process of thinking about something in a logical, sensible way, often involving critical evaluation.

Hierarchical Process

A structured method where tasks or decisions are arranged in levels of importance or authority.

Practical Knowledge

Knowledge gained through direct experience or practice, as opposed to theoretical understanding.