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

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

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limit as x approaches 0 of x^4f(x)

x \to 0 lim (x^{4} f (x))

0

Solution steps

x \to 0 lim (x^{4} f (x))

Plug in the value

x = 0

, assuming the function is continuous at this point

= 0^{4} f (0)

Simplify

= 0

\int \frac{1}{x ^{2}} (1 + \frac{1}{x})^{\frac{1}{2}} d x

2 y (x + 1) d y = x d x

\frac{1}{x ^{2}}, at 4

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

\int_{2}^{3} 3 - x d x

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