Learn how to solve limits problems step by step online. Find the limit x,(y)->(0)lim((xy^2)/(x^2+sin(y)^2)). 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^2+\sin\left(y\right)^2}\right) by replacing all occurrences of y by 0. Calculate the power 0^2. The sine of 0 equals 0.

Find the limit x,(y)->(0)lim((xy^2)/(x^2+sin(y)^2))