What is the limit as (x,y) approaches (0,0) of x^3y ?

The limit as (x,y) approaches (0,0) of x^3y is 0

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limit as (x,y) approaches (0,0) of x^3y

(x, y) \to (0, 0) lim (x^{3} y)

0

Solution steps

(x, y) \to (0, 0) lim (x^{3} y)

Plug in the value

(x, y) = (0, 0)

= 0^{3} \cdot 0

Simplify

= 0

\frac{3}{12} x^{4} + \frac{2}{6} x^{3} - x^{2} + 1

9 x e^{x}

x \to 0 lim (\frac{sin ( 2 )}{2})

\frac{d}{d x} (\frac{6 x}{( x ^{2} + 3 ) ^{2}})

- \frac{1}{2} x^{2} - 2 x + 3

What is the limit as (x,y) approaches (0,0) of x^3y ?
The limit as (x,y) approaches (0,0) of x^3y is 0