What is the limit as x approaches 2 of x^3f(x) ?

The limit as x approaches 2 of x^3f(x) is 8f(2)

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limit as x approaches 2 of x^3f(x)

x \to 2 lim (x^{3} f (x))

8 f (2)

Solution steps

x \to 2 lim (x^{3} f (x))

Plug in the value

x = 2

, assuming the function is continuous at this point

= 2^{3} f (2)

Simplify

= 8 f (2)

n = 1 \sum \infty \frac{( - 1 ) ^{n}}{5 ( 2 ^{n + 2} )}

x \to 1 + lim (\frac{7}{1 - x})

y = 4 - 3 x

\frac{\partial}{\partial x} (e^{- 2 x} cos (8 y))

\int 18 x^{2} 6 x^{3} + 5 d x

What is the limit as x approaches 2 of x^3f(x) ?
The limit as x approaches 2 of x^3f(x) is 8f(2)