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

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

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

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

4 f (2)

Solution steps

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

Plug in the value

x = 2

, assuming the function is continuous at this point

= 2^{2} f (2)

Simplify

= 4 f (2)

\int_{0}^{1} x \cdot sin (π x) d x

y = sec (3 x^{4} + 5)

θ \to 0 lim (\frac{cos ( θ ) - 1}{θ})

\int_{0}^{2} π (\frac{1}{x + 4})^{2} d x

\frac{x ^{2}}{y ^{2} - 5} \frac{d y}{d x} = \frac{1}{2 y}

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