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

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

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

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

- 1

Solution steps

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

Simplify

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

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

Plug in the value

x = - 1

= \frac{1}{- 1}

Simplify

= - 1

\int_{- 2}^{2} (4 - x^{2})^{2} d x

\int_{- 1}^{1} \frac{1}{x + 2} d x

\int_{1}^{2} \frac{x + 1}{x} d x

\frac{d ^{4} y}{d x ^{4}} - 23 \frac{d ^{2} y}{d x ^{2}} - 50 y = 0

5 x + \frac{4}{x}

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