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

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

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

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

6

Solution steps

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

Simplify

\frac{6 x ^{2} + 6 x}{x} : 6 (x + 1)

= x \to 0 lim (6 (x + 1))

Plug in the value

x = 0

= 6 (0 + 1)

Simplify

= 6

d er i v a t i v e f (x) = 4 x^{- \frac{1}{8}}

\int x ln (3 x) d x

t an g e n t f (x) = - \frac{1}{x}

d er i v a t i v e f (x) = 1 + x

\int \frac{\frac{π}{6}}{0} sin (x) cos^{3} (x) d x

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