Find the Limit and Determine If the Function Is Continuous $$\lim _ { x \rightarrow 0 } \sin ^ { - 1 } \left( e ^ { x ^ { 5 } } \right)$$

question 312

Multiple Choice

Find the limit and determine if the function is continuous at the point being approached.
- $$\lim _ { x \rightarrow 0 } \sin ^ { - 1 } \left( e ^ { x ^ { 5 } } \right)$$

• A) \(\frac { \pi } { 2 }\); yes
• B) \(\frac { \pi } { 4 }\); no
• C) does not exist; no
• D) \(\frac { \pi } { 4 }\); yes

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Definitions:

Nash Equilibrium

A concept in game theory where each player's chosen strategy maximizes their payoff given the strategies chosen by other players, and no player can benefit by changing their strategy unilaterally.

Marginal Cost

The cost of producing one additional unit of a product or service.

Profit-Maximizing

A strategy or process aimed at increasing a company's profits to the highest possible level.

Marginal Cost

The increase in cost that arises from producing one additional unit of a good or service.