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

Question
Limits and continuity
Find the limits
$$\lim_{(x,y)\rightarrow(3,4)}\sqrt{x^2+y^2-1}$$

2020-10-29
The given expression is $$\lim_{(x,y)\rightarrow(3,4)}\sqrt{x^2+y^2-1}$$
Calculation:
$$\lim_{(x,y)\rightarrow(3,4)}\sqrt{x^2+y^2-1}=\sqrt{3^2+4^2-1}$$
$$=\sqrt{9+16-1}$$
$$=\sqrt{24}$$
$$=2\sqrt{6}$$

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