L'Hopital's Rule Does Not Help with the Given Limit $\lim _ { x \rightarrow 0 } \frac { x \cot x } { \cos x }$

question 244

Multiple Choice

L'Hopital's rule does not help with the given limit. Find the limit some other way.
- $\lim _ { x \rightarrow 0 } \frac { x \cot x } { \cos x }$

• A) \(\infty\)
• B) \(- 1\)
• C) 1
• D) 0

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Definitions:

Production Possibilities Frontier

A graphical representation that shows the maximum combination of goods and services that can be produced with a fixed amount of resources.

Rate Of Trade-off

The rate at which one factor must be decreased in order to increase another factor, commonly used in the context of opportunity cost.

Resources

Assets or inputs used in the production of goods and services, such as labor, capital, and natural resources.

Opportunity Cost

The loss incurred by rejecting the immediate best alternative when arriving at a decision.