illusiia

2020-11-01

Evaluate the following limits.
$\underset{\left(x,y\right)\to \left(2,-1\right)}{lim}\left(x{y}^{8}-3{x}^{2}{y}^{3}\right)$

### Answer & Explanation

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