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

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

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

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

- \infty

Solution steps

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

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

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

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}{x + 1})

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

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

= (- 2) \cdot \infty

Apply Infinity Property:

- c \cdot \infty = - \infty

= - \infty

- \frac{192}{x ^{4}}

12 x e^{x}

x \to \infty lim (1 + 2 + 3)

(3 x + 3 x y + 3 x y^{2}) d x + (x^{2} + 2 x^{2} y) d y = 0

16 y^{^{''}} + 5 y = 0

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