What is the limit as x approaches 0 of x/(x^2+x) ?

The limit as x approaches 0 of x/(x^2+x) is 1

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limit as x approaches 0 of x/(x^2+x)

x \to 0 lim (\frac{x}{x ^{2} + x})

1

Solution steps

x \to 0 lim (\frac{x}{x ^{2} + x})

Simplify

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

= x \to 0 lim (\frac{1}{x + 1})

Plug in the value

x = 0

= \frac{1}{0 + 1}

Simplify

= 1

t \to 0 lim (e^{t})

y = 7 e^{x} + \frac{8}{3 x}

n = 1 \sum \infty \frac{n ^{3}}{7 ^{n}}

\int \frac{2 x ^{3} - 24 x}{x ^{4} - 16} d x

\frac{s}{6 s ^{2} + 4}

What is the limit as x approaches 0 of x/(x^2+x) ?
The limit as x approaches 0 of x/(x^2+x) is 1