What is the limit as x approaches 0 of (x^4+3x)/x ?

The limit as x approaches 0 of (x^4+3x)/x is 3

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limit as x approaches 0 of (x^4+3x)/x

x \to 0 lim (\frac{x ^{4} + 3 x}{x})

3

Solution steps

x \to 0 lim (\frac{x ^{4} + 3 x}{x})

Simplify

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

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

Plug in the value

x = 0

= 0^{3} + 3

Simplify

= 3

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What is the limit as x approaches 0 of (x^4+3x)/x ?
The limit as x approaches 0 of (x^4+3x)/x is 3