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

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

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

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

1

Solution steps

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

Simplify

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

= x \to 0 lim (x + 1)

Plug in the value

x = 0

= 0 + 1

Simplify

= 1

\int \frac{ln ( x )}{2 x + 3} d x

x \to 2 lim (\frac{x ^{2} - 9}{x + 2})

\frac{\partial}{\partial x} (e^{x y})

\frac{d}{d x} (\frac{4}{( x + 4 ) ^{2}})

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