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Find Each of the Following Limits or Explain Why It lim⁡x→1x3−3x+21−x\lim _ { x \rightarrow 1 } \frac { x ^ { 3 } - 3 x + 2 } { 1 - x }

Question 33

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Find each of the following limits or explain why it does not exist.(a) lim⁡x→1x3−3x+21−x\lim _ { x \rightarrow 1 } \frac { x ^ { 3 } - 3 x + 2 } { 1 - x } (b) lim⁡x→0+cos⁡x−1x2\lim _ { x \rightarrow 0 ^ { + } } \frac { \cos x - 1 } { x ^ { 2 } } (c) lim⁡x→0+x2(ln⁡x)\lim _ { x \rightarrow 0 ^ { + } } x ^ { 2 } ( \ln x )

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