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

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Definitions:

Parallel Processing

A method of computation where many calculations or processes are carried out simultaneously, leveraging multiple processors or computers to solve complex problems faster.

Network

A group of interconnected computers, servers, and other devices that allow for data sharing and communication amongst them.

Cache Memory

A type of high-speed volatile computer memory that provides high-speed data access to the processor and stores frequently used computer programs, applications, and data.

Virtual Memory

The space on the hard drive where the operating system stores data if there isn’t enough random access memory to hold all of the programs you’re currently trying to run.