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

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

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

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

\infty

Solution steps

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

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

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

x \to 1 - lim (x + 1) = 2

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

= 2 \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

\frac{\partial}{\partial x} (x y)

\frac{d}{d x} (ln (0))

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

\frac{d}{d x} (x ln (2 x + 1))

\frac{d}{d x} (\frac{1}{3} cos (3 x))

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