mathe
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Prove that
[tex]\lim_{x \to\0 ,y\rightarrow 0}(x+y)sin\frac{1}{x}sin\frac{1}{y}=0[/tex]
[tex]\lim_{x \to\0 ,y\rightarrow 0}(x+y)sin\frac{1}{x}sin\frac{1}{y}=0[/tex]
Limit of a function of more than one variable
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welcome to pf!
hi mathe! welcome to pf!
show us what you've tried, and where you're stuck, and then we'll know how to help!
hi mathe! welcome to pf!
show us what you've tried, and where you're stuck, and then we'll know how to help!
mathe
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tiny-tim said:hi mathe! welcome to pf!
show us what you've tried, and where you're stuck, and then we'll know how to help!
Here's what I've tried
\[|(x+y)sin\frac{1}{x}sin\frac{1}{y}|\leq |x+y|\rightarrow 0 (as x,y\rightarrow 0)\]
but it seems to me so simple and too obvious...so I'm not sure about the solution
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hi mathe!
(you forgot to type "tex"!)
looks fine to me
(you forgot to type "tex"!
)mathe said:
looks fine to me