lim (x,y)->(0,0) (ln(1+2x^2+y^2))/(x^2+3y^2)^2
The Attempt at a Solution
i've been tought that i have to find another equation always bigger than this one that goes to 0 at (0,0) to find a solution. or if the solution doesnt exist, try to find two paths with two different results in 0,0. whichever path i chose, this goes to +infinite. in class i have never seen a limit in two variables that exists and goes to +inf, having an indetermination form, so i dont have a clue on how to solve it. any ideas?