# Find the limits lim_{(x,y)rightarrow(3,4)}sqrt{x^2+y^2-1}

Find the limits
$\underset{\left(x,y\right)\to \left(3,4\right)}{lim}\sqrt{{x}^{2}+{y}^{2}-1}$
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Willie
The given expression is $\underset{\left(x,y\right)\to \left(3,4\right)}{lim}\sqrt{{x}^{2}+{y}^{2}-1}$
Calculation:
$\underset{\left(x,y\right)\to \left(3,4\right)}{lim}\sqrt{{x}^{2}+{y}^{2}-1}=\sqrt{{3}^{2}+{4}^{2}-1}$
$=\sqrt{9+16-1}$
$=\sqrt{24}$
$=2\sqrt{6}$
Jeffrey Jordon