Use Series to Evaluate the Limit Correct to Three Decimal $\lim _ { x \rightarrow 0 } \frac { 7 x - \tan ^ { - 1 } 7 x } { x ^ { 3 } }$

question 34

Multiple Choice

Use series to evaluate the limit correct to three decimal places. $\lim _ { x \rightarrow 0 } \frac { 7 x - \tan ^ { - 1 } 7 x } { x ^ { 3 } }$ Select the correct answer.

• A) \(118.933\)
• B) \(114.133\)
• C) \(34.3233\)
• D) \(114.333\)
• E) \(115.933\)

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Definitions:

GDP Deflator

A measure of the price level for all new, domestically produced, final goods and services in an economy, used to convert nominal GDP into real GDP.

Base Year

A specific year against which economic growth or other economic variables are measured.

Nominal GDP

The market value of all final goods and services produced within a country in a given period, measured using current prices without adjustment for inflation.

Real GDP

An assessment of a country's economic production that is corrected for price fluctuations due to inflation or deflation, demonstrating the actual volume of goods and services created.