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) \(3 \mathbf { i } - 10 \mathbf { k }\)

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Definitions:

Monopolistic Competitor

In market economics, a monopolistic competitor refers to a company operating in a sector filled with competitors, yet it has enough differentiation to have some control over its pricing.

Downward Sloping

A description of a curve or line that shows a decrease in one variable as another variable increases, commonly seen in demand curves.

Demand Curves

Graphical representations showing the relationship between the price of a good and the quantity demanded by consumers.

Perfect Competition

Perfect Competition is a market structure characterized by a large number of small firms, identical products sold by all firms, no barriers to enter or exit the market, and perfect knowledge of prices and technology.