Check whether the limit of the function
f(x,y)=3x^3y/x^6+2y^2 exists as (x, y) →(0,0)
1
Expert's answer
2020-03-30T09:55:30-0400
"\\lim_{x\\to\\ 0\\\\y\\to\\ 0}f(x,y)= \\frac{3\\frac{y}{x^3}}{1+2(\\frac{y}{x^3})^2}= \\frac{3k}{1+2k^2}" where "k=\\frac{y}{x^3}" .The limit "f(x,y)" depends on "k" hence "f(x,y)" has no limit.
"assignmentexpert.com" is professional group of people in Math subjects! They did assignments in very high level of mathematical modelling in the best quality. Thanks a lot
Comments
Leave a comment