Question

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

Limits and continuity
ANSWERED
asked 2020-10-28
Find the limits
\(\lim_{(x,y)\rightarrow(3,4)}\sqrt{x^2+y^2-1}\)

Answers (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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