- #1
pantin
- 20
- 0
Homework Statement
lim (x,y,z)->(0,0,0) (xy+yz+xz)/(x^2+y^2+z^2)
lim(x,y) - > (1,1) (x-y^4)/(x^3-y^4)
lim(x,y)->(0,0) [1-cos(x^2+y^2)]/(x^2+y^2)^2
one more..
is there a constant c in R s.t. the fn
f(x,y) =( xy+y^3 ) / (x^2+y^2) for (x,y) =/= (0, 0)
f(x,y) = c for (x,y) =(0,0)
is continuous at (0,0)?