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

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

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

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

6

Solution steps

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

Simplify

\frac{6 x - x ^{2}}{x} : 6 - x

= x \to 0 lim (6 - x)

Plug in the value

x = 0

= 6 - 0

Simplify

= 6

t \to 1 lim (\frac{t ^{2} - 1}{1 - 1})

\frac{d}{d x} ((x + 2)^{a r c t a n (x)})

\frac{\partial}{\partial y} (\frac{2 x + 3}{4 y + 1})

\int x e^{x} d x

y^{^{''}} - \frac{y ^{^{'}}}{x} = 3 x

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