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For Each of the Following Problems, Make an Appropriate Table lim⁡x→1∣x∣−xx−1\lim _ { x \rightarrow 1 } \frac { | x | - x } { x - 1 }

Question 94

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For each of the following problems, make an appropriate table to determine the limits.(a) lim⁡x→1∣x∣−xx−1\lim _ { x \rightarrow 1 } \frac { | x | - x } { x - 1 } (b) lim⁡x→0cos⁡x−1x\lim _ { x \rightarrow 0 } \frac { \cos x - 1 } { x } (c) lim⁡x→3(1/x)−(1/3)x−3\lim _ { x \rightarrow 3 } \frac { ( 1 / x ) - ( 1 / 3 ) } { x - 3 }

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(a) (i) If we consider only rational val...

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