Find Two Paths of Approach from Which One Can Conclude

question 11

Multiple Choice

Find two paths of approach from which one can conclude that the function has no limit as (x, y) approaches (0, 0) .
- $\text { Define } f ( 0,0 ) \text { in a way that extends } f ( x , y ) = \frac { x ^ { 2 } y ^ { 2 } } { x ^ { 2 } + y ^ { 2 } } \text { to be continuous at the origin. }$

• A) f(0, 0) = 1
• B) No definition makes f(x, y) continuous at the origin.
• C) f(0, 0) = 0
• D) f(0, 0) = 2

---

Definitions:

Equipment

Tangible property or tools that are used in the process of producing goods or providing services.

Bankruptcy Trustee

An appointed individual responsible for managing the estate of a debtor during bankruptcy proceedings, including assets distribution to creditors.

Security Interest

An enforceable legal claim or lien on collateral that has been pledged, usually to obtain a loan, ensuring the right to seize said collateral if the loan is not repaid.

Antecedent Debt

Obligations or debts that exist before a particular agreement or transaction.