What is the limit as (x,y) approaches (0,0) of |x+y| ?

The limit as (x,y) approaches (0,0) of |x+y| is 0

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limit as (x,y) approaches (0,0) of |x+y|

(x, y) \to (0, 0) lim (∣ x + y ∣)

0

Solution steps

(x, y) \to (0, 0) lim (∣ x + y ∣)

Plug in the value

(x, y) = (0, 0)

= ∣ 0 + 0 ∣

Simplify

∣ 0 + 0 ∣ : 0

= 0

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What is the limit as (x,y) approaches (0,0) of |x+y| ?
The limit as (x,y) approaches (0,0) of |x+y| is 0