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

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

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

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

2

Solution steps

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

Simplify

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

= x \to 0 lim (\frac{2}{x + 1})

Plug in the value

x = 0

= \frac{2}{0 + 1}

Simplify

= 2

x \to \infty lim (- x^{2} e^{x})

x \to 2 lim (\frac{1 - 4 x}{x + 3})

h \to 0 lim (\frac{ln ( 2 e + h ) - ln ( 2 e )}{h})

x \to 0 lim (\frac{e ^{x} - cos ( x )}{ln ( 1 + x )})

x \to 0 lim (\frac{7 x - 1}{5 x})

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