What is the limit as x approaches 4-of (x-10)/(x-4) ?

The limit as x approaches 4-of (x-10)/(x-4) is infinity

Popular >

limit as x approaches 4-of (x-10)/(x-4)

x \to 4 - lim (\frac{x - 10}{x - 4})

\infty

Solution steps

x \to 4 - lim (\frac{x - 10}{x - 4})

\frac{x - 10}{x - 4} = (x - 10) \frac{1}{x - 4}

= x \to 4 - lim ((x - 10) \frac{1}{x - 4})

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 4 - lim (x - 10) \cdot x \to 4 - lim (\frac{1}{x - 4})

x \to 4 - lim (x - 10) = - 6

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

= (- 6) (- \infty)

Apply Infinity Property:

- c \cdot (- \infty) = \infty

= \infty

\frac{d}{d x} (x^{\frac{2}{3}} (x + 2))

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

x^{2} + 3 y \cdot \frac{d y}{d x} = 0

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

\int_{0}^{2} x + 2 - x^{2} d x

What is the limit as x approaches 4-of (x-10)/(x-4) ?
The limit as x approaches 4-of (x-10)/(x-4) is infinity