1. lim [latex] \frac{ x^{2} +1}{ x^{2} -1} [/latex]2. lim[latex] \frac{ x^{2} -2x-1}{ x^{2} -9} [/latex]3. [latex] \frac{4 x^{2} }{ x^{2} -1} [/latex]

Question

1. lim [latex] \frac{ x^{2} +1}{ x^{2} -1} [/latex]2. lim[latex] \frac{ x^{2} -2x-1}{ x^{2} -9} [/latex]3. [latex] \frac{4 x^{2} }{ x^{2} -1} [/latex]

1. lim [latex] \frac{ x^{2} +1}{ x^{2} -1} [/latex] 2. lim[latex] \frac{ x^{2} -2x-1}{ x^{2} -9} [/latex] 3. [latex] \frac{4 x^{2} }{ x^{2} -1} [/latex]

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Ответ(ы) на вопрос:

Accepted Answer

[latex] \lim_{x \to \infty} x^2(1+1/x^2)/x^2(1-1/x^2)=1 [/latex] [latex] \lim_{x \to \infty} x^2(1-2/x-1/x^2)/x^2(1-9/x^2)=1 [/latex] [latex] \lim_{x \to \infty} 4x^2/x^2(1-1/x^2)=4 [/latex]