Question

Prove que, Lim (x,y) => (0,0) f(x) = 1

sendo f(x)=(xy+1)/(x²+y²+1 )

Answer 1

lim (xy+1)/x²+y²+1

(x,y)=>(0,0)

substituindo

==> (0.0+1)/(0²+0²+1)

==>0+1/0+1=1/1=1

lim(xy+1)/(x²+y²+1)=1 //.

(x,y)=>(0,0)