What is the limit as x approaches 1-of (x+2)/(1-x) ?

The limit as x approaches 1-of (x+2)/(1-x) is infinity

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limit as x approaches 1-of (x+2)/(1-x)

x \to 1 - lim (\frac{x + 2}{1 - x})

\infty

Solution steps

x \to 1 - lim (\frac{x + 2}{1 - x})

\frac{x + 2}{1 - x} = (x + 2) \frac{1}{1 - x}

= x \to 1 - lim ((x + 2) \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 + 2) \cdot x \to 1 - lim (\frac{1}{1 - x})

x \to 1 - lim (x + 2) = 3

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

= 3 \cdot \infty

Apply Infinity Property:

c \cdot \infty = \infty

= \infty

f (x) = 5 x^{2} - 2 x, at x = 3

f (x) = \frac{1}{2} x^{3} - 2 x + 3

\int \frac{12 x ^{3} - 24 x ^{2} + 7}{x ^{2} - 2 x} d x

\frac{s - 3}{s + 7}

x \to - 2 lim (\frac{- 1}{- x ^{2} + 4})

What is the limit as x approaches 1-of (x+2)/(1-x) ?
The limit as x approaches 1-of (x+2)/(1-x) is infinity