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

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

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

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

- 1

Solution steps

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

Simplify

\frac{x + 1}{x ^{2} + x} : \frac{1}{x}

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

Plug in the value

x = - 1

= \frac{1}{- 1}

Simplify

= - 1

n = 0 \sum \infty \frac{( - 1 ) ^{n + 1} ( x - 1 ) ^{n + 1}}{n + 1}

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