What is the limit as x approaches 4-of (x-5)/(x-4) ?

The limit as x approaches 4-of (x-5)/(x-4) is infinity

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

limit as x approaches 4-of (x-5)/(x-4)

x \to 4 - lim (\frac{x - 5}{x - 4})

\infty

Solution steps

x \to 4 - lim (\frac{x - 5}{x - 4})

\frac{x - 5}{x - 4} = (x - 5) \frac{1}{x - 4}

= x \to 4 - lim ((x - 5) \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 - 5) \cdot x \to 4 - lim (\frac{1}{x - 4})

x \to 4 - lim (x - 5) = - 1

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

= (- 1) (- \infty)

Apply Infinity Property:

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

= \infty

\frac{( - 4 e ^{x} )}{x ^{4}}

x \to 0 lim (+ (e^{- \frac{1}{x}}))

\int 2 x \cdot e^{x^{2}} d x

\int_{x}^{\frac{1}{2}} 8 d y

(2 x - 1) d x + (7 y + 3) d y = 0

What is the limit as x approaches 4-of (x-5)/(x-4) ?
The limit as x approaches 4-of (x-5)/(x-4) is infinity