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 26

Multiple Choice

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

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

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Definitions:

Elastic Portion

The segment of a demand curve where the quantity demanded changes significantly as a result of price changes, indicating high price elasticity of demand.

Demand Curve

A graphical representation showing the relationship between the price of a good or service and the quantity demanded by consumers at those prices.

Price Makers

Entities that have the ability to control the prices of the products or services they offer, due to lack of significant competition.

Downward-Sloping Demand

Describes the general tendency for the demand for a good or service to decrease as its price increases.