Question

Find the limit and discuss the continuity of the function. \lim_(x, y, z)\rightarrow (1, 3, 4)\sqrt{(x+y+z)}

Limits and continuity
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asked 2021-05-22
Find the limit and discuss the continuity of the function. \(\displaystyle\lim_{{{x},{y},{z}}}\rightarrow{\left({1},{3},{4}\right)}\sqrt{{{\left({x}+{y}+{z}\right)}}}\)

Answers (1)

2021-05-23
substituting (1,3,4) into the function, and the limit is \(\displaystyle{2}\sqrt{{{2}}}\)
function is continuous in the region \(\displaystyle{x}+{y}+{z}\geq{0}\)
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