What is the limit as (x,y) approaches (0,0) of xy^2 ?

The limit as (x,y) approaches (0,0) of xy^2 is 0

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limit as (x,y) approaches (0,0) of xy^2

(x, y) \to (0, 0) lim (x y^{2})

0

Solution steps

(x, y) \to (0, 0) lim (x y^{2})

Plug in the value

(x, y) = (0, 0)

= 0 \cdot 0^{2}

Simplify

= 0

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What is the limit as (x,y) approaches (0,0) of xy^2 ?
The limit as (x,y) approaches (0,0) of xy^2 is 0