Question

Find the limit and discuss the continuity of the function. \lim_(x, y)\rightarrow (-1, 2)\frac{(x + y)}{(x - y)}

Limits and continuity
ANSWERED
asked 2021-05-31
Find the limit and discuss the continuity of the function. \(\displaystyle\lim_{{{x},{y}}}\rightarrow{\left(-{1},{2}\right)}{\frac{{{\left({x}+{y}\right)}}}{{{\left({x}-{y}\right)}}}}\)

Expert Answers (1)

2021-06-01
substituting (-1,2) into the function, and the limit is \(\displaystyle{\frac{{-{1}}}{{{3}}}}\)
function is continuous everywhere except x=y, that's when the denominator is 0.
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