Find Two Paths of Approach from Which One Can Conclude $\left| \sin \left( \frac { 1 } { y } \right) \right| \leq 1$

question 35

Essay

Find two paths of approach from which one can conclude that the function has no limit as (x, y) approaches (0, 0).
-Does knowing that $\left| \sin \left( \frac { 1 } { y } \right) \right| \leq 1$ tell you anything about $\lim _ { ( x , y ) \rightarrow ( 0,0 ) } \sin ( x ) \sin \left( \frac { 1 } { y } \right)$ ? Give reasons for your answer.

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Definitions:

Outgroup Derogation

A phenomenon in which an out-group is perceived as being different from and inferior to the in-group.

Own Group

Own group refers to the social group or category to which an individual identifies as belonging, distinguishing them from other groups.

Unique Individuals

Persons who are distinctive and not like others due to their specific characteristics, experiences, or qualities.

Threats to Self-esteem

Events or circumstances that undermine an individual's sense of self-worth or confidence.