What is the limit as x approaches 0 of f(x)x ?

The limit as x approaches 0 of f(x)x is 0

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limit as x approaches 0 of f(x)x

x \to 0 lim (f (x) x)

0

Solution steps

x \to 0 lim (f (x) x)

Plug in the value

x = 0

, assuming the function is continuous at this point

= f (0) \cdot 0

Simplify

= 0

4 x y^{^{'}} - (1 + x) y = 2 x y^{2}

\frac{d y}{d x} = \frac{( y ^{3} + x ^{3} )}{x y ^{2}}

t^{3} - 6 t^{2} + 9 t

\frac{d}{d x} (a (x - h)^{2} + k)

\int (4 - x^{2}) d x

What is the limit as x approaches 0 of f(x)x ?
The limit as x approaches 0 of f(x)x is 0