find the limit (if it exists). (if an answer does not exist, enter dne.)\n\\(\\lim_{(x,y)\\to(1,5)}\\frac{xy…
find the limit (if it exists). (if an answer does not exist, enter dne.)\n\\(\\lim_{(x,y)\\to(1,5)}\\frac{xy - 5}{xy+5}\\)
Answer
Explanation:
Step1: Substitute values
Let (x = 1) and (y = 5) into the function (\frac{xy - 5}{xy+5}). We get (\frac{1\times5 - 5}{1\times5+5}).
Step2: Simplify the expression
First, calculate the numerator: (1\times5 - 5=5 - 5 = 0). Then, calculate the denominator: (1\times5+5=5 + 5=10). So the fraction is (\frac{0}{10}=0).
Answer:
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