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

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

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

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

\infty

Solution steps

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

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

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

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

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

= (- 3) (- \infty)

Apply Infinity Property:

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

= \infty

\frac{\partial}{\partial x} (e^{x - 1})

5 e^{3 t}

\int \frac{x}{x ^{2} + 3} d x

\frac{\partial}{\partial x} (tan (ln (x \cdot y)))

\frac{d}{d x} (cos (e^{3 x^{2}}))

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