Lim x -3 x3-4 x2-6 x-1-2 x3-x2-5 x-7

Lim_x →∞3x^3 4x^2+6x 1/2x^3+x^2 5x+7 Divide numerator and denominator by x^3 =lim_x →∞3 4/x+6/x^2 1/x^3/2+1/x 5/x^2+7/x^3 =3 0+0 0/2+0 0+0=3/2 ...

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L'Hospital Rule to Remove Indeterminate Form

lim x →∞3 x3-...

Question

${lim}_{x \to \infty} \frac{3 x^{3} - 4 x^{2} + 6 x - 1}{2 x^{3} + x^{2} - 5 x + 7}$

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lim x \to \infty \frac{{3 x}^{3} - {4 x}^{2} + 6 x - 1}{{z x}^{3} + x^{2} - 5 x + 7} = \frac{3}{2}

\begin{matrix} {lim}_{x \to 1} \frac{x^{2} - 3 x + 2}{x^{2} - 4 x + 3} {lim}_{x \to 2} \frac{x^{3} + x^{2} - 12}{x^{3} - x^{2} - x - 2} {lim}_{x \to \sqrt{2}} \frac{x^{2} + x \sqrt{2} - 4}{x^{2} - 3 x \sqrt{2} + 4} {lim}_{x \to 3} \frac{x^{3} - 3 x^{2} - x + 3}{x^{3} - 6 x^{2} + 9 x} \end{matrix}

\frac{2 x^{3} - 3 x^{2} + x + 1}{2 x^{3} - 3 x^{2} - x - 1} = \frac{3 x^{3} - x^{2} + 5 x - 13}{3 x^{3} - x^{2} - 5 x + 13}

x^{4} + 3 x^{3} + 5 x^{2} + 26 x + 56

x^{4} + 2 x^{3} - 4 x^{2} - x + 28

x^{2} + 5 x + 7

2 x^{3} - 4 x^{2} + 6 x - 2

3 x^{3} + 2 x^{2} - 5 x + 3

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