QUESTION 2 Find lim xy +1 (x, y)*(0,0) x2 +y2-1 O-1 O 2 00 O Does...

Question

Question

math calculus

Answer 1

Answer #1

$\lim_{\left (x,y \right )\rightarrow \left ( 0,0 \right )}\frac{xy+1}{x^{2}+y^{2}-1}$

$=\frac{0+1}{0^{2}+0^{2}-1}$

=-1

$\lim_{\left (0,y \right )\rightarrow \left ( 0,0 \right )}\frac{0+1}{0+y^{2}+-1}=\frac{1}{0-1}=-1$

$\lim_{\left (x,0\right )\rightarrow \left ( 0,0 \right )}\frac{0+1}{x^{2}+0+-1}=\frac{1}{0-1}=-1$

$\lim_{\left (x,y \right )\rightarrow \left ( 0,0 \right )}\frac{xy+1}{x^{2}+y^{2}-1}=-1$

Answer :

Answer 2

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