What is the limit as x approaches 0 of (7x^3-x^2)/x ?

The limit as x approaches 0 of (7x^3-x^2)/x is 0

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limit as x approaches 0 of (7x^3-x^2)/x

x \to 0 lim (\frac{7 x ^{3} - x ^{2}}{x})

0

Solution steps

x \to 0 lim (\frac{7 x ^{3} - x ^{2}}{x})

Simplify

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

= x \to 0 lim (x (7 x - 1))

Plug in the value

x = 0

= 0 \cdot (7 \cdot 0 - 1)

Simplify

= 0

(x^{2} + y^{2}) d x - (2 \cdot x \cdot y) d y = 0

x \to 1 - lim (f (x))

\int \frac{x ^{3} + 5}{x ^{2} + 3 x + 2} d x

\int - 7 cos^{2} (x) tan^{3} (x) d x

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

What is the limit as x approaches 0 of (7x^3-x^2)/x ?
The limit as x approaches 0 of (7x^3-x^2)/x is 0