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

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

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

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

1

Solution steps

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

Simplify

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

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

Plug in the value

x = 0

= \frac{1}{1 + 0}

Simplify

= 1

x \to 0 lim (3 x - 2)

\int x x + 5 d x

x \to 0 lim (\frac{tanh ( x )}{x})

\frac{d}{d x} (\frac{1}{3} tan (x))

y = x - x

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