What is the limit as x approaches 0 of x^2+y^2 ?

The limit as x approaches 0 of x^2+y^2 is y^2

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limit as x approaches 0 of x^2+y^2

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

y^{2}

Solution steps

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

Plug in the value

x = 0

= 0^{2} + y^{2}

Simplify

= y^{2}

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What is the limit as x approaches 0 of x^2+y^2 ?
The limit as x approaches 0 of x^2+y^2 is y^2