# Evaluate the following limits. lim_{(x,y)rightarrow(6,2)}frac{x^2-3xy}{x-3y}

Evaluate the following limits.
$\underset{\left(x,y\right)\to \left(6,2\right)}{lim}\frac{{x}^{2}-3xy}{x-3y}$
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berggansS
Given,
$\underset{\left(x,y\right)\to \left(6,2\right)}{lim}\frac{{x}^{2}-3xy}{x-3y}$
On simplification, we get
$\underset{\left(x,y\right)\to \left(6,2\right)}{lim}\frac{{x}^{2}-3xy}{x-3y}=\underset{\left(x,y\right)\to \left(6,2\right)}{lim}\frac{x\left(x-3\right)}{x-3y}$
$=\underset{\left(x,y\right)\to \left(6,2\right)}{lim}\left(x\right)$
$=6$
Jeffrey Jordon