Find the limit (if it exists) and discuss the continuity of the function. \lim_(x, y)\rightarrow (1, 1)\frac{xy}{x² + y²}

sjeikdom0

sjeikdom0

Answered question

2021-06-28

Find the limit (if it exists) and discuss the continuity of the function. limx,y(1,1)xyx²+y²

Answer & Explanation

Nathalie Redfern

Nathalie Redfern

Skilled2021-06-29Added 99 answers

the function is continuous everywhere except the origin - the origin sets the denominator to 0
substitute (1,1) into the function, and we obtain the limit is 12 - by continuity of the function.

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