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

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

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limit as x approaches 0 of sqrt(x^2+x)-x

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

0

Solution steps

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

Plug in the value

x = 0

= 0^{2} + 0 - 0

Simplify

= 0

\int 3 y 7 - 3 y^{2} d y

\int_{0}^{1} (y^{2} + y^{4}) d y

\frac{d}{d x} (x^{2} 3 x + 1)

\int \frac{x}{y ^{2} + x ^{2}} d x

x \to 1 lim (\frac{x ^{3} - 1}{x - 6})

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