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Suppose We Know That x2x2sin(πx)x2 for x[1,1]- x ^ { 2 } \leq x ^ { 2 } \sin \left( \frac { \pi } { x } \right) \leq x ^ { 2 } \text { for } x \in [ - 1,1 ]

Question 15

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Suppose we know that x2x2sin(πx)x2 for x[1,1]- 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 limx0x2sin(πx)\lim _ { x \rightarrow 0 } x ^ { 2 } \sin \left( \frac { \pi } { x } \right)

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