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

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

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

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

6

Solution steps

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

Simplify

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

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

Plug in the value

h = 0

= 2 (0 + 3)

Simplify

= 6

x \to 0 lim (f (x) \cdot g (x))

\frac{d}{d x} (\frac{- x ^{2}}{4})

f (x) = (4 z^{4} + 2 z^{2} + 1) (2 z^{3} - z)

\int - \frac{1}{2 x + 1} d x

\frac{d}{d x} (- \frac{2 x}{( - 3 + x ^{2} ) ^{2}})

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