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

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.