Let Where Is $f$ Continuous

question 10

Short Answer

Let $f ( x , y ) = \left\{ \begin{array} { l l } \frac { x ^ { 4 } - y ^ { 4 } } { x ^ { 2 } + y ^ { 2 } } & \text { if } ( x , y ) \neq ( 0,0 ) \\0 & \text { if } ( x , y ) = ( 0,0 )\end{array} \right.$ Where is $f$ continuous?

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Definitions:

Assets

Resources owned or controlled by a business that are expected to produce economic value.

Liabilities

Financial obligations or debts that a company owes to external parties, which must be settled over time through the transfer of economic benefits including money, goods, or services.

Creditors

Individuals or entities that are owed money by a debtor because they have provided goods, services, or loans.

Statement Of Changes In Equity

A financial statement that shows how the equity of a company has changed over a period due to various factors like profits, losses, and distributions to shareholders.