- #1

Laura1321412

- 24

- 0

## Homework Statement

Find that the limit exists, or show that the limit does not exist.

lim (x,y) --> (0,0) of (x^2 * sin^2y)/(x^2 + 2y^2)

## Homework Equations

??

## The Attempt at a Solution

i used the lines x=0 y=0 and both times got the limit 0 so i attempted to prove the limit exists

I attempted to use the limit definition,

1 >= |sin^2| >= 0

x^2 + 2y^2 >= x^2

x^2+2y^2 >= x^2sin^2y

|x^2sin^2y/x^2+2y^2| <= 1

uhmm... I am not sure what do after this or really what the heck I am doing. HELP? :)