# Use the method of your choice to evaluate the following limits. lim_{(x,y)rightarrow(1,0)}frac{yln y}{x}

Use the method of your choice to evaluate the following limits.
$\underset{\left(x,y\right)\to \left(1,0\right)}{lim}\frac{y\mathrm{ln}y}{x}$
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We have to find the limit of the given function at the given point.
$\underset{\left(x,y\right)\to \left(1,0\right)}{lim}\frac{y\mathrm{ln}y}{x}$
$\underset{\left(x,y\right)\to \left(1,0\right)}{lim}\frac{y\mathrm{ln}y}{x}$
$⇒\frac{0\mathrm{ln}0}{1}$
now as $\mathrm{ln}0=1$
therefore
=0
i.e. $\underset{\left(x,y\right)\to \left(1,0\right)}{lim}\frac{y\mathrm{ln}y}{x}=0$
Jeffrey Jordon