What is the limit as (x,y) approaches (0,9) of x^3y ?

The limit as (x,y) approaches (0,9) of x^3y is 0

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limit as (x,y) approaches (0,9) of x^3y

(x, y) \to (0, 9) lim (x^{3} y)

0

Solution steps

(x, y) \to (0, 9) lim (x^{3} y)

Plug in the value

(x, y) = (0, 9)

= 0^{3} \cdot 9

Simplify

= 0

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\frac{d y}{d x} = 5 x (y - 1)^{\frac{1}{5}}

What is the limit as (x,y) approaches (0,9) of x^3y ?
The limit as (x,y) approaches (0,9) of x^3y is 0