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

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

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

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

\infty

Solution steps

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

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

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

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

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

= (- 2) (- \infty)

Apply Infinity Property:

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

= \infty

arcsin (sin (x))

\frac{d}{d x} (\frac{1}{x ln ( 10 )})

f (x) = \frac{1 + e ^{x}}{1 - e ^{x}}

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

f (x) = x^{2} + 3 x, at x = 1

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