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Question Number 32409 by saru53424@gmail.com last updated on 24/Mar/18

Answered by rahul 19 last updated on 24/Mar/18

option 2−3.  x^3 −4x^2 −x+4= (x−1)(x^2 −3x−4)  ⇒ L_(x→4) t_ = x−1   ⇒4−1=3★

$${option}\:\mathrm{2}−\mathrm{3}. \\ $$$${x}^{\mathrm{3}} −\mathrm{4}{x}^{\mathrm{2}} −{x}+\mathrm{4}=\:\left({x}−\mathrm{1}\right)\left({x}^{\mathrm{2}} −\mathrm{3}{x}−\mathrm{4}\right) \\ $$$$\Rightarrow\:\underset{{x}\rightarrow\mathrm{4}} {{L}}\underset{} {{t}}=\:{x}−\mathrm{1}\: \\ $$$$\Rightarrow\mathrm{4}−\mathrm{1}=\mathrm{3}\bigstar \\ $$

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