Find Two Paths of Approach from Which One Can Conclude $$f ( x , y ) = \frac { y ^ { 2 } } { y ^ { 2 } - x }$$

question 345

Essay

Find two paths of approach from which one can conclude that the function has no limit as (x, y) approaches (0, 0).
- $$f ( x , y ) = \frac { y ^ { 2 } } { y ^ { 2 } - x }$$

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Definitions:

PO

Abbreviation for "per os," a Latin term meaning "by mouth," used in medical prescriptions to indicate that a medication should be taken orally.

Pain

An unpleasant sensation and emotional experience associated with actual or potential tissue damage, or described in terms of such damage.

Lactulose Solution

A synthetic sugar solution used as a medication to treat constipation and hepatic encephalopathy.

Constipation

A condition characterized by difficulty in passing stool or an infrequent passage of hard stool.