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

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

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

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

- \infty

Solution steps

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

Divide by highest denominator power:

\frac{1}{1 + \frac{1}{x}}

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

For

x

approaching

- 1

from the right

, x > - 1 \Rightarrow 1 + \frac{1}{x} < 0

The denominator is a negative quantity approaching 0 from the left

= - \infty

\frac{\partial}{\partial t} (3 t)

\frac{d y}{d x} = \frac{x + y - 2}{2 x + 2 y + 3}

\int \frac{1}{x ^{2} - 25} d x

\frac{\partial}{\partial x} (cos (x^{8} + y^{8}))

\frac{d}{d x} (5 x + 8)

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