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

The limit as (x,y) approaches (0,0) of e^{xy} is 1

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limit as (x,y) approaches (0,0) of e^{xy}

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

1

Solution steps

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

Plug in the value

(x, y) = (0, 0)

= e^{0 \cdot 0}

Simplify

= 1

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What is the limit as (x,y) approaches (0,0) of e^{xy} ?
The limit as (x,y) approaches (0,0) of e^{xy} is 1