Find the Smallest Value of N That Will Make the Inequality

question 246

Multiple Choice

Find the smallest value of N that will make the inequality hold for all n > N.
- $$| \sqrt [ n ] { 2 n } - 1 | < 10 ^ { - 2 }$$

• A) 750
• B) 731
• C) 733
• D) 737

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Definitions:

September 1864

A specific timeframe during the American Civil War, marked by several military engagements and strategic developments.

Appomattox Court House

The site of the surrender of Confederate General Robert E. Lee to Union General Ulysses S. Grant, effectively ending the American Civil War on April 9, 1865.

Ten-Percent Plan

A reconstruction plan proposed by Abraham Lincoln that allowed a rebel state to rejoin the Union once 10% of its voters pledged allegiance to the U.S. and abolished slavery.

Confederate States

The collection of Southern states that seceded from the United States in 1861, leading to the American Civil War, primarily over issues including states' rights and slavery.