Let F: R x R -> R be defined by the equation(adsbygoogle = window.adsbygoogle || []).push({});

F(x x y) = { xy/(x^2 + y^2) if x x y [tex]\neq[/tex] 0 x 0 ; 0 if x x y = 0 x 0

a. Show that F is continuous in each variable separately.

b. Compute the function g: R-> R defined by g(x) = F(x x x)

c. Show that F is not continuous.

I know how to do part a....

but I'm not sure how to do b or c.

If you can help me out that would be great! thank you!

**Physics Forums - The Fusion of Science and Community**

# Showing F is not continuous

Know someone interested in this topic? Share a link to this question via email,
Google+,
Twitter, or
Facebook

- Similar discussions for: Showing F is not continuous

Loading...

**Physics Forums - The Fusion of Science and Community**