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

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

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

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

\infty

Solution steps

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

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

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

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

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

= 2 \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

f (x) = \frac{x}{1 - ln ( x - 1 )}

\int y 9 - y d y

x \to 3 - lim (\frac{5}{x ^{2} - 9})

x \to 3 lim (e^{\frac{7}{x - 3}})

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