Exercise
$\lim_{x,y\to0,0}\left(\frac{xy^2}{x^3+y^4}\right)$
Step-by-step Solution
Learn how to solve limits problems step by step online. Find the limit x,(y)->(0)lim((xy^2)/(x^3+y^4)). The limit of the product of a function and a constant is equal to the limit of the function, times the constant: \displaystyle \lim_{t\to 0}{\left(at\right)}=a\cdot\lim_{t\to 0}{\left(t\right)}. Evaluate the limit \lim_{y\to0}\left(\frac{y^2}{x^3+y^4}\right) by replacing all occurrences of y by 0. Calculate the power 0^4. Calculate the power 0^2.
Find the limit x,(y)->(0)lim((xy^2)/(x^3+y^4))
Final answer to the exercise
$x,0$