Evaluate $\lim _ { x \rightarrow - 2 } ( x + 1 ) ^ { 5 } \sqrt { 2 x ^ { 4 } + x ^ { 2 } }$

question 45

Essay

Evaluate $\lim _ { x \rightarrow - 2 } ( x + 1 ) ^ { 5 } \sqrt { 2 x ^ { 4 } + x ^ { 2 } }$ , and justify each step by indicating the appropriate Limit Law(s).

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Definitions:

Oligopoly

A market structure characterized by a small number of firms dominating the market, leading to limited competition and often higher prices for consumers.

Differentiated Product

A product that is distinct from similar products offered by competitors because of features, branding, quality, or other attributes.

Price Elasticity Of Demand

A measure of how much the quantity demanded of a good responds to a change in price.

Price Discrimination

The strategy of selling the same product or service at different prices to different customers, based on their willingness to pay.