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

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

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

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

1

Solution steps

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

x \to a lim [f (x) \pm g (x)] = x \to a lim f (x) \pm x \to a lim g (x)

With the exception of indeterminate form

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

x \to 0 lim (x) = 0

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

= 0 + 1

Simplify

= 1

\frac{d}{d x} (\frac{x + 5}{2 x ^{2} e ^{x}})

\int 1 - 36 x^{2} d x

f (x) = x + 24, (1, 5)

\frac{\partial}{\partial y} (3 x^{2} + 3 y^{2})

\frac{\partial}{\partial y} (\frac{3}{x ^{2} + y ^{2}})

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