Limit (Multivariable)

[Kottler]

Hello! I''m dealing with an exercise that I can't solve!

I have this function: f(x,y)= y*sin(π /x^2-y^2) and i have to find the limit for 2 points. P=(0,0) and Q=(1,-1).

I already managed to solve for P (=0), but i can't figure it out how to do it for Q.

 

[Deleted member 4993]

Hello! I''m dealing with an exercise that I can't solve! I have this function: f(x,y)= y*sen(π /x^2-y^2) and i have to find the limit for 2 points. P=(0,0) and Q=(1,-1).

I already managed to solve for P (=0), but i can't figure it out how to do it for Q.

Please share your work/thoughts about this assignment.

Please clarify: What is "sen"?

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[tkhunny]

I'm going to guess that "(π /x^2-y^2)" doesn't mean what you want. Use parentheses or LaTeX to clarify intent.

Your task is to approach the limit from ALL possible directions.

Show that ANY two DO NOT match up and what have you found?
Show that 3,458,487 (< ALL) DO match up and what have you proved?

Don't approach on the lines x = y or x = -y. Why not?

How did you do P? Why won't the same thing work for Q?