Estimate the Limit by Graphing the Function for an Appropriate

question 367

Essay

Estimate the limit by graphing the function for an appropriate domain. Confirm your estimate by using L'Hopital's rule.
Show each step of your calculation.
-Find the error in the following incorrect application of L'Hôpital's Rule. $\lim _ { x \rightarrow 2 } \frac { x ^ { 3 } - 2 x ^ { 2 } + 1 } { 3 x ^ { 2 } - 6 x } = \lim _ { x \rightarrow 2 } \frac { 3 x ^ { 2 } - 4 x } { 6 x - 6 } = \lim _ { x \rightarrow 2 } \frac { 6 x - 4 } { 6 } = \frac { - 16 } { 6 }$ .

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Definitions:

Year-End

The end of an accounting period, typically culminating in the closing of books and preparation of financial statements.

Deferral

An accounting principle where revenue or expenses are recognized at a later date than when they were initially incurred.

Nominal Accounts

Accounts that are closed at the end of every accounting period, which include revenues, expenses, gains, and losses.

Real Accounts

Permanent accounts in accounting that show the ongoing financial state of a company's assets, liabilities, and shareholders' equity.