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Find the Value Of lim⁡x→12x−x2−1∣x−1∣\lim _ { x \rightarrow 1 } \frac { 2 x - x ^ { 2 } - 1 } { | x - 1 | }

Question 38

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Find the value of lim⁡x→12x−x2−1∣x−1∣\lim _ { x \rightarrow 1 } \frac { 2 x - x ^ { 2 } - 1 } { | x - 1 | } , if it exists. If the limit does not exist, explain why.

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