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

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

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

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

3 x^{2}

Solution steps

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

Plug in the value

h = 0

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

Simplify

= 3 x^{2}

x \to 0 + lim (\frac{x}{ln ( x + 1 )})

x \to 0 + lim (ln ((\frac{1}{x})^{x}))

x \to \infty lim (- x^{- 2})

x \to 0 + lim (x x)

x \to - 0 + lim ((e^{x} + x)^{\frac{1}{x}})

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