What is the limit as h approaches 0 of 3x^2+2xh+h^2 ?

The limit as h approaches 0 of 3x^2+2xh+h^2 is 3x^2

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limit as h approaches 0 of 3x^2+2xh+h^2

h \to 0 lim (3 x^{2} + 2 x h + h^{2})

3 x^{2}

Solution steps

h \to 0 lim (3 x^{2} + 2 x h + h^{2})

Plug in the value

h = 0

= 3 x^{2} + 2 x \cdot 0 + 0^{2}

Simplify

= 3 x^{2}

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What is the limit as h approaches 0 of 3x^2+2xh+h^2 ?
The limit as h approaches 0 of 3x^2+2xh+h^2 is 3x^2