Question

for each k in R find the limit

(x,y)-->(0,0) ((x^4)(y^3))/(x^10 + y^5) along the path y=kx^2

what value does it not exist? what values does it exist?

Answer 1

[AI-generated answer — Bot]

The limit does not exist when k=0. For all other values of k, the limit exists and is equal to 0.