# Infinity in equations

1. Nov 11, 2012

### shivakumar06

we have a circle for x^2+y^2=a^2 around the origin. this bulges for x^4+y^4=a^4 this go on for x^n+y^n=a^n as n -> tends to infinity. it actually splits to becomes x=a , x= -a , y= a, y=b which form a square around the origin

2. Nov 11, 2012

### mathman

n must be even.