Evaluate lim x- 1 x 2 -xlog e x- log e x- 1 - x 2 -1

lim_x→ 1x^2+log_e^x log_e^x 1x^2 1 lim_x→ 1(x^2 1)+log_e^x(x 1)x^2 1 =lim_x→ 1(1+log_ex(x+1)) 1+lim_x→ 1log_ex(x+1)(log_e1=0) =1+0=[1]. ...

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Factorization Method Form to Remove Indeterminate Form

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Question

Evaluate ${lim}_{x \to 1} \frac{x^{2} + x {log}_{e} x - {log}_{e} x - 1}{(x^{2} - 1)}$

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