What is the limit as x approaches 4-of ((1-x))/(4-x) ?

The limit as x approaches 4-of ((1-x))/(4-x) is -infinity

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limit as x approaches 4-of ((1-x))/(4-x)

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

- \infty

Solution steps

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

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

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

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

x \to 4 - lim (1 - x) = - 3

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

= (- 3) \cdot \infty

Apply Infinity Property:

- c \cdot \infty = - \infty

= - \infty

What is the limit as x approaches 4-of ((1-x))/(4-x) ?
The limit as x approaches 4-of ((1-x))/(4-x) is -infinity