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

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

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

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

- \infty

Solution steps

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

For

x

approaching

- 1

from the left

, x < - 1 \Rightarrow x + 1 < 0

The denominator is a negative quantity approaching 0 from the left

= - \infty

\frac{d y}{d x} + y = x y^{8}

f (x) = 5 x + 2

2 (x^{2} + y^{2}) d x + 7 x y d y = 0

f (x) = x^{2} cos (x)

\frac{d}{d y} (e^{y})

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