What is the limit as x approaches-2+of (x-4)/(x+2) ?

The limit as x approaches-2+of (x-4)/(x+2) is -infinity

Popular >

limit as x approaches-2+of (x-4)/(x+2)

x \to - 2 + lim (\frac{x - 4}{x + 2})

- \infty

Solution steps

x \to - 2 + lim (\frac{x - 4}{x + 2})

\frac{x - 4}{x + 2} = (x - 4) \frac{1}{x + 2}

= x \to - 2 + lim ((x - 4) \frac{1}{x + 2})

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 - 4) \cdot x \to - 2 + lim (\frac{1}{x + 2})

x \to - 2 + lim (x - 4) = - 6

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

= (- 6) \cdot \infty

Apply Infinity Property:

- c \cdot \infty = - \infty

= - \infty

x \to 5 lim (17)

x \to 0 lim (\frac{3}{x - 1})

x \to - 4 lim (5 x + 15)

x \to 5 lim (- 1)

x \to 7 + lim (\frac{x}{x ^{2} - 49})

What is the limit as x approaches-2+of (x-4)/(x+2) ?
The limit as x approaches-2+of (x-4)/(x+2) is -infinity