- #1

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## Homework Statement

[tex]\lim_{(x,y) \rightarrow (0,2)} \dfrac{ysinx}{x}[/tex]

## The Attempt at a Solution

I know that I have to evaluate the function in the given values of x and y

For y=2

[tex]\lim_{x \rightarrow 0} \dfrac{2sinx}{x}[/tex]

Using L'Hopital

[tex]\lim_{x \rightarrow 0} \dfrac{2cosx}{1}=2[/tex]

For x=0

[tex]\lim_{y \rightarrow 2} \dfrac{ysin0}{0}[/tex]

I don't know how to solve that. Thanks for your time.