What is the limit as h approaches 0 of (x+h)3-x^3h ?

The limit as h approaches 0 of (x+h)3-x^3h is 3x

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limit as h approaches 0 of (x+h)3-x^3h

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

3 x

Solution steps

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

Plug in the value

h = 0

= (x + 0) \cdot 3 - x^{3} \cdot 0

Simplify

= 3 x

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What is the limit as h approaches 0 of (x+h)3-x^3h ?
The limit as h approaches 0 of (x+h)3-x^3h is 3x