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

question 157

Short Answer

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.

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Definitions:

Financing Activities

involve transactions related to raising capital and repaying investors, including issuing equity, obtaining loans, and paying dividends.

Direct Method

A cash flow statement preparation approach showing actual cash inflows and outflows from operating activities without adjustments for non-cash transactions.

Operating Activities

Activities that are directly related to the primary operations of the company, including cash inflows and outflows from selling products and services.

Indirect Method

A financial reporting approach to prepare the cash flow statement where non-cash activities are adjusted to the net income to calculate cash flow from operating activities.