Determine $\lim _{x \rightarrow 0} \frac{\cos x-1}{x^{2}}$ If the Limit Exists $-\frac{1}{2}$

question 28

Multiple Choice

Determine $\lim _{x \rightarrow 0} \frac{\cos x-1}{x^{2}}$
if the limit exists.

• A) -1
• B) \(-\frac{1}{2}\)
• C) \(\frac{1}{2}\)
• D) 1
• E) The limit does not exist.

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Definitions:

Established

Refers to an entity or concept that has been in existence for a significant period and is widely recognized or accepted.

1913

The year marked by significant historical events, such as the establishment of the Federal Reserve System in the United States.

Four-Year Term

A period often associated with the duration of certain elected offices or specific agreements, notably used to denote the length of a presidential term in many countries.

Federal Reserve Act

The 1913 U.S. legislation that established the Federal Reserve System as the central banking authority, responsible for monetary policy and oversight of banks.