Find Each of the Following Limits or Explain Why It $\lim _ { x \rightarrow 1 } \frac { x ^ { 3 } - 3 x + 2 } { 1 - x }$

question 33

Essay

Find each of the following limits or explain why it does not exist.(a) $\lim _ { x \rightarrow 1 } \frac { x ^ { 3 } - 3 x + 2 } { 1 - x }$ (b) $\lim _ { x \rightarrow 0 ^ { + } } \frac { \cos x - 1 } { x ^ { 2 } }$ (c) $\lim _ { x \rightarrow 0 ^ { + } } x ^ { 2 } ( \ln x )$

Understand the impact of the principal's bankruptcy on the agent's power.

Recognize the requirements for terminating an agent's apparent authority.

Distinguish between actual, implied, and express authority of an agent.

Understand the contractual liability implications for disclosed, partially disclosed, and undisclosed principals.

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Definitions:

Government Regulation

The act of governing or directing according to rules set by the government, typically aiming to ensure fair and ethical business practices and protect consumers.

Security

Measures taken to protect a system, entity, or information from theft, damage, or unauthorized access.

Interest Rates

The cost of borrowing money, typically expressed as a percentage of the amount borrowed, paid by the borrower to the lender over a specified period.

Short-Term Funds

Investments that are made for a short duration, typically less than one year, to meet immediate financial requirements.