# Evaluate the following limits. lim_{(x,y)rightarrow(2,-1)}(xy^8-3x^2y^3)

Evaluate the following limits.
$\underset{\left(x,y\right)\to \left(2,-1\right)}{lim}\left(x{y}^{8}-3{x}^{2}{y}^{3}\right)$
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odgovoreh
We have to evaluate the limit of the given function:
$\underset{\left(x,y\right)\to \left(2,-1\right)}{lim}\left(x{y}^{8}-3{x}^{2}{y}^{3}\right)$
Solve:
$\underset{\left(x,y\right)\to \left(2,-1\right)}{lim}\left(x{y}^{8}-3{x}^{2}{y}^{3}\right)$
$⇒\left(2×\left(-1{\right)}^{8}-3\left(2{\right)}^{2}\left(-1{\right)}^{3}\right)$
$⇒\left(2-\left(-12\right)\right)$
$⇒14$
$\because \underset{\left(x,y\right)\to \left(2,-1\right)}{lim}\left(x{y}^{8}-3{x}^{2}{y}^{3}\right)=14$
Jeffrey Jordon