What is the limit as x approaches-2+of (x-1)/(3x+6) ?

The limit as x approaches-2+of (x-1)/(3x+6) is -infinity

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limit as x approaches-2+of (x-1)/(3x+6)

x \to - 2 + lim (\frac{x - 1}{3 x + 6})

- \infty

Solution steps

x \to - 2 + lim (\frac{x - 1}{3 x + 6})

\frac{x - 1}{3 x + 6} = (x - 1) \frac{1}{3 x + 6}

= x \to - 2 + lim ((x - 1) \frac{1}{3 x + 6})

x \to a lim [f (x) \cdot g (x)] = x \to a lim f (x) \cdot x \to a lim g (x)

With the exception of indeterminate form

= x \to - 2 + lim (x - 1) \cdot x \to - 2 + lim (\frac{1}{3 x + 6})

x \to - 2 + lim (x - 1) = - 3

x \to - 2 + lim (\frac{1}{3 x + 6}) = \infty

= (- 3) \cdot \infty

Apply Infinity Property:

- c \cdot \infty = - \infty

= - \infty

\int cot^{2} (x) d x

\frac{d}{d x} (ln (7 x))

\frac{d}{d x} (2 ∣ x - 3 ∣ - 3 ∣ x - 2 ∣)

\int \frac{( 2 x - 1 )}{( x - 1 ) ( x - 2 )} d x

\frac{e ^{x}}{\frac{d y}{d x}} = (1 + e^{x}) y

What is the limit as x approaches-2+of (x-1)/(3x+6) ?
The limit as x approaches-2+of (x-1)/(3x+6) is -infinity