Limx- 1 - - 4-x2-x-1 -3x4-1-x3-1 -

[ lim #160; #160;_ x→ 1 ( 4 / x^ 2 x 1 + 3( x^ 4 1 ) #160; / x^ 3 1 #160; ) ...

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Factorization Method Form to Remove Indeterminate Form

limx→ 1 [ [ 4...

Question

${lim}_{x \to 1} [[\frac{4}{x^{2} - x - 1}] + \frac{3 (x^{4} - 1)}{x^{3} - 1}] =$

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lim x \to 1 [{(\frac{4}{x^{2} - x^{- 1}} - \frac{1 - 3 x + x^{2}}{1 - x^{3}})}^{- 1} + 3 \frac{x^{4} - 1}{x^{3} - x^{- 1}}]

lim x \to 1 [{(\frac{4}{x^{2} - x^{- 1}} - \frac{1 - 3 x + x^{2}}{1 - x^{2}})}^{- 1} + 3 \frac{x^{4} - 1}{x^{3} - x^{- 1}}] .

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l i m x \to 1 {∣ ∣ ∣ \begin{matrix} \frac{4}{x^{2} - x^{- 1}} - \frac{1 - 3 x + x^{2}}{1 - x^{3}} \end{matrix} ∣ ∣ ∣}^{- 1} + 3 ∣ ∣ ∣ \begin{matrix} \frac{x^{4} - 1}{x^{3} - x^{- 1}} \end{matrix} ∣ ∣ ∣

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