Theory of Intelligence
11TH•Mathematics•Limit And Continuity•Question 3

(iv)

Evaluate each limit by using algebraic techniques:

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(iv)

lim⁡x→1x3−3x2+3x−1x3−x\lim_{x \to 1}\dfrac{x^3 - 3x^2 + 3x - 1}{x^3 - x}

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