What is the limit as x approaches 0 of (7x^4-x^3)/x ?

The limit as x approaches 0 of (7x^4-x^3)/x is 0

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limit as x approaches 0 of (7x^4-x^3)/x

x \to 0 lim (\frac{7 x ^{4} - x ^{3}}{x})

0

Solution steps

x \to 0 lim (\frac{7 x ^{4} - x ^{3}}{x})

Simplify

\frac{7 x ^{4} - x ^{3}}{x} : x^{2} (7 x - 1)

= x \to 0 lim (x^{2} (7 x - 1))

Plug in the value

x = 0

= 0^{2} (7 \cdot 0 - 1)

Simplify

0^{2} (7 \cdot 0 - 1) : 0

= 0

What is the limit as x approaches 0 of (7x^4-x^3)/x ?
The limit as x approaches 0 of (7x^4-x^3)/x is 0