What is the limit as x approaches 1/2 of 4x(x-1/4) ?

The limit as x approaches 1/2 of 4x(x-1/4) is 1/2

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limit as x approaches 1/2 of 4x(x-1/4)

x \to \frac{1}{2} lim (4 x (x - \frac{1}{4}))

\frac{1}{2}

Decimal

0.5

Solution steps

x \to \frac{1}{2} lim (4 x (x - \frac{1}{4}))

Plug in the value

x = \frac{1}{2}

= 4 \cdot \frac{1}{2} (\frac{1}{2} - \frac{1}{4})

Simplify

4 \cdot \frac{1}{2} (\frac{1}{2} - \frac{1}{4}) : \frac{1}{2}

= \frac{1}{2}

x \to 5 lim (\frac{4 x - 10}{4 x - 20})

m \to 0 lim (\frac{5}{m ^{2} + m} - \frac{5}{m})

x \to - \infty lim (e^{6 x})

x \to 2 - lim (\frac{x}{2})

x \to \frac{π}{2} - lim (- ln ∣ cos (x) ∣)

What is the limit as x approaches 1/2 of 4x(x-1/4) ?
The limit as x approaches 1/2 of 4x(x-1/4) is 1/2