Suppose We Know That $- x ^ { 2 } \leq x ^ { 2 } \sin \left( \frac { \pi } { x } \right) \leq x ^ { 2 } \text { for } x \in [ - 1,1 ]$

question 15

Essay

Suppose we know that $- x ^ { 2 } \leq x ^ { 2 } \sin \left( \frac { \pi } { x } \right) \leq x ^ { 2 } \text { for } x \in [ - 1,1 ]$ Use the Squeeze Theorem to determine $\lim _ { x \rightarrow 0 } x ^ { 2 } \sin \left( \frac { \pi } { x } \right)$

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