Lim_x→ 1 ( x^2 1/x 1 )=lim_x→ 1(x 1)(x+1)/(x 1) lim_x→ 1(x+1)=1+1 lim_x→ 1 ( x^2 1/x 1 )=2 ...

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Factorization Method Form to Remove Indeterminate Form

limx→ 1x2-1/x...

Question

${lim}_{x \to 1} \frac{(x^{2} - 1)}{(x - 1)}$ is

\infty

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Solution

The correct option is C 2
${lim}_{x \to 1} (\frac{x^{2} - 1}{x - 1}) = {lim}_{x \to 1} \frac{(x - 1) (x + 1)}{(x - 1)}$

${lim}_{x \to 1} (x + 1) = 1 + 1$

${lim}_{x \to 1} (\frac{x^{2} - 1}{x - 1}) = 2$

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