What is the limit as h approaches 0 of (6xh+3h^2)/h ?

The limit as h approaches 0 of (6xh+3h^2)/h is 6x

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limit as h approaches 0 of (6xh+3h^2)/h

h \to 0 lim (\frac{6 x h + 3 h ^{2}}{h})

6 x

Solution steps

h \to 0 lim (\frac{6 x h + 3 h ^{2}}{h})

Simplify

\frac{6 x h + 3 h ^{2}}{h} : 3 (h + 2 x)

= h \to 0 lim (3 (h + 2 x))

Plug in the value

h = 0

= 3 (0 + 2 x)

Simplify

= 6 x

\frac{\partial}{\partial x} (3 e^{x^{3} y^{3}})

\int 7 x sin^{2} (x) d x

7 x + 4

5 sec (6 x)

\int_{0}^{l n (15)} x e^{x} d x

What is the limit as h approaches 0 of (6xh+3h^2)/h ?
The limit as h approaches 0 of (6xh+3h^2)/h is 6x