Solve the Problem $\ln ( 1 + x )$ , Obtain a Series For

question 128

Multiple Choice

Solve the problem.
-Using the Maclaurin series for $\ln ( 1 + x )$ , obtain a series for $\frac { \ln \left( 1 + x ^ { 2 } \right) } { x }$ .

• A) \(\sum _ { n = 0 } ^ { \infty } \frac { ( - 1 ) ^ { n } x ^ { 2 n + 1 } } { 2 n + 1 }\)
• B) \(\sum _ { n = 0 } ^ { \infty } \frac { ( - 1 ) ^ { n } x ^ { 2 n + 1 } } { n + 1 }\)
• C) \(\sum _ { n = 0 } ^ { \infty } \frac { ( - 1 ) ^ { n } x ^ { n + 1 } } { 2 n + 1 }\)
• D) \(\sum _ { \mathrm { n } = 0 } ^ { \infty } \frac { ( - 1 ) ^ { \mathrm { n } } \mathrm { x } ^ { \mathrm { n } + 1 } } { \mathrm { n } + 1 }\)

Understand the establishment and replenishment of a petty cash fund.

Recognize the importance of maintaining a minimum cash balance (compensating balances).

Understand the objectives and implementation of internal control systems.

Identify and apply adjustments for bank statement and company books in bank reconciliations.

---

Definitions:

Economy Surged

A term describing a significant and rapid increase in the economic activity and growth of a region or country, often measured by GDP growth.

High Tariff

A government-imposed tax on imported or exported goods, typically used to protect domestic industries from foreign competition or to generate revenue.

National Debt

The total amount of money that a country's government has borrowed, by various means.

Greenbacks

Paper currency issued by the United States during the Civil War, not backed by gold or silver but by the government's credibility.