What is the limit as x approaches 1+of (x+10)/(1-x) ?

The limit as x approaches 1+of (x+10)/(1-x) is -infinity

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limit as x approaches 1+of (x+10)/(1-x)

x \to 1 + lim (\frac{x + 10}{1 - x})

- \infty

Solution steps

x \to 1 + lim (\frac{x + 10}{1 - x})

\frac{x + 10}{1 - x} = (x + 10) \frac{1}{1 - x}

= x \to 1 + lim ((x + 10) \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 + 10) \cdot x \to 1 + lim (\frac{1}{1 - x})

x \to 1 + lim (x + 10) = 11

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

= 11 (- \infty)

Apply Infinity Property:

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

= - \infty

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

x \to 7 lim (\frac{( x ^{2} - 5 x - 14 )}{x - 7})

y^{^{'}} + \frac{1}{200 + t} y = 0, y (0) = 60

\int \frac{4 x ^{2} sin ( 2 x )}{9} d x

n = 2 \sum \infty \frac{n - 2}{n 5 ^{n}}

What is the limit as x approaches 1+of (x+10)/(1-x) ?
The limit as x approaches 1+of (x+10)/(1-x) is -infinity