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

question 31

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:

Dividend Yield Ratio

A financial ratio indicating how much a company pays out in dividends each year relative to its share price.

Acid-test Ratio

A liquidity ratio that measures a company's ability to pay off its current liabilities with its quick assets (cash, marketable securities, and accounts receivable).

Debt-to-equity Ratio

A financial indicator showing how much of a company's assets are financed by debt compared to shareholders' equity.

Receivable Turnover

A financial ratio that measures how efficiently a company collects its outstanding credit sales, typically calculated annually.