[Solution] Find the following limit, if it exists: x→ ∞ lim (-2+7x-3x^2)/(5-4x)=x→ ∞ lim


Question: Find the following limit, if it exists:

\(\underset{x\to \infty }{\mathop{\lim }}\,\frac{-2+7x-3{{x}^{2}}}{5-4x}=\underset{x\to \infty }{\mathop{\lim }}\,\frac{-\frac{2}{x}+7-3x}{\frac{5}{x}-4}=\infty \)

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