Question

lim(x y)-(0,0) 2xy/x^2+y^4​

Answer 1

Step-by-step explanation:

Approach (0,0) along (t,t) as t→0 to get:

limt→0t3t2+t4=0

Approach (0,0) along (t,t√) as t→0 to get:

limt→0t2t2+t2=12

Thus, the limit doesn't exist.