What is the limit as x approaches 0 of (5x^3)/x ?

The limit as x approaches 0 of (5x^3)/x is 0

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limit as x approaches 0 of (5x^3)/x

x \to 0 lim (\frac{5 x ^{3}}{x})

0

Solution steps

x \to 0 lim (\frac{5 x ^{3}}{x})

Cancel the common factor:

x

= x \to 0 lim (5 x^{2})

Plug in the value

x = 0

= 5 \cdot 0^{2}

Simplify

= 0

\frac{1}{4} x^{2}, 2 x^{2}, x - 3

\frac{\partial}{\partial x} (6 x (x^{2} + y^{2} + z^{2})^{2})

\int \frac{( 2 x ^{2} + 2 )}{( x ^{2} - 2 x + 2 ) ^{2}} d x

f (x) = 3 x^{4} - x^{3} - 5 x^{2} + 7, at x = 2

\int x^{4} (7 - \frac{x ^{5}}{10})^{3} d x

What is the limit as x approaches 0 of (5x^3)/x ?
The limit as x approaches 0 of (5x^3)/x is 0