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  • What is the value of  <img alt="\mathrm{\lim _{\substack{x \rightarrow 0 \\ y \rightarrow 0}} \frac{x y}{x^2+y^2}}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7B%5Clim%20_%

What is the value of  \mathrm{\lim _{\substack{x \rightarrow 0 \\ y \rightarrow 0}} \frac{x y}{x^2+y^2}}    ?

Option: 1

1


Option: 2

-1


Option: 3

0


Option: 4

Limit does not exist


Answers (1)

best_answer

A limit should be same for every function. But here for

\mathrm{ y=x, limit =\frac{1}{2}} and for \mathrm{y=2 x} \mathrm{limit =\frac{2}{5} }

\mathrm{\therefore} Doesn't exist

Posted by

Rakesh

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