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Find Each of the Following Limits or Explain Why It lim⁡x→0x−sin⁡xx3\lim _ { x \rightarrow 0 } \frac { x - \sin x } { x ^ { 3 } }

Question 172

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Find each of the following limits or explain why it does not exist.(a) lim⁡x→0x−sin⁡xx3\lim _ { x \rightarrow 0 } \frac { x - \sin x } { x ^ { 3 } } (b) lim⁡x→∞e−xx2\lim _ { x \rightarrow \infty } e ^ { - x } x ^ { 2 } (c) lim⁡x→0+x2x\lim _ { x \rightarrow 0 ^ { + } } x ^ { \frac { 2 } { x } }

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