What is the limit as x approaches 8+of (x-9)/(x-8) ?

The limit as x approaches 8+of (x-9)/(x-8) is -infinity

Popular >

limit as x approaches 8+of (x-9)/(x-8)

x \to 8 + lim (\frac{x - 9}{x - 8})

- \infty

Solution steps

x \to 8 + lim (\frac{x - 9}{x - 8})

\frac{x - 9}{x - 8} = (x - 9) \frac{1}{x - 8}

= x \to 8 + lim ((x - 9) \frac{1}{x - 8})

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 8 + lim (x - 9) \cdot x \to 8 + lim (\frac{1}{x - 8})

x \to 8 + lim (x - 9) = - 1

x \to 8 + lim (\frac{1}{x - 8}) = \infty

= (- 1) \cdot \infty

Apply Infinity Property:

- c \cdot \infty = - \infty

= - \infty

\frac{\partial}{\partial x} (a e^{a x + y})

\frac{d}{d y} (\frac{cy ( x )}{x ^{2} + y ^{2}})

\int \frac{1}{tan ^{2} ( x ) + 1} d x

y^{^{''}} + 4 y^{^{'}} + 4 y = 0, y (1) = 0, y^{^{'}} (1) = 1

0.001 x^{3} + 0.2 x^{2} + 36 x + 300

What is the limit as x approaches 8+of (x-9)/(x-8) ?
The limit as x approaches 8+of (x-9)/(x-8) is -infinity