# Find the limits. Write infty or -infty where appropriate. lim_{xrightarrow2^-}frac{x^2-3x+2}{x^3-2x^2}

Find the limits. Write where appropriate.
$\underset{x\to {2}^{-}}{lim}\frac{{x}^{2}-3x+2}{{x}^{3}-2{x}^{2}}$
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Lacey-May Snyder
To Determine:
Find the limits.
$\underset{x\to {2}^{-}}{lim}\frac{{x}^{2}-3x+2}{{x}^{3}-2{x}^{2}}$
Explanation:
To find the limit, we will factorize the numerator and denominator.
$\underset{x\to {2}^{-}}{lim}\frac{\left(x-2\right)\left(x-1\right)}{{x}^{2}\left(x-2\right)}$
$\underset{x\to {2}^{-}}{lim}\frac{\left(x-1\right)}{{x}^{2}}$
find the limit now
$\frac{\left(2-1\right)}{{2}^{2}}=\frac{1}{4}$
$=0.25$
Answer: $\underset{x\to {2}^{-}}{lim}\frac{{x}^{2}-3x+2}{{x}^{3}-2x}=0.25$
Jeffrey Jordon