What is the limit as x approaches 0 of (x^4+2x)/x ?

The limit as x approaches 0 of (x^4+2x)/x is 2

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limit as x approaches 0 of (x^4+2x)/x

x \to 0 lim (\frac{x ^{4} + 2 x}{x})

2

Solution steps

x \to 0 lim (\frac{x ^{4} + 2 x}{x})

Simplify

\frac{x ^{4} + 2 x}{x} : x^{3} + 2

= x \to 0 lim (x^{3} + 2)

Plug in the value

x = 0

= 0^{3} + 2

Simplify

= 2

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

\int \frac{1}{x ^{2} + a} d x

\frac{d y}{d x} = 2 + 3 + y - 2 x

\frac{d}{d x} ((2 x + 5) (3 x - 4))

sin (2 x + 2)

What is the limit as x approaches 0 of (x^4+2x)/x ?
The limit as x approaches 0 of (x^4+2x)/x is 2