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Find the limit $\lim _{x \rightarrow \infty} \dfrac{x^{3}-6 x+1}{x^{2}+2 x-3}$
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Since the numerator degree is bigger than the denominator degree, we'll need to use the end behavior model. The end behavior model tells us that the numerator term dominates and has positive values, so the limit evaluates to $\infty$.
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