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

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

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

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

0

Solution steps

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

Cancel the common factor:

x

= x \to 0 lim (4 x)

Plug in the value

x = 0

= 4 \cdot 0

Simplify

= 0

y^{^{'}} = 9 y^{2} + x y^{2}, y (0) = 1

\frac{\partial}{\partial x} ((41 - x^{2} - y^{2})^{\frac{1}{2}})

\int_{0}^{1} x e^{- 4 x} d x

\int \frac{1}{x 25 x ^{2} + 16} d x

x + y \frac{d y}{d x} = 0

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