What is the limit as x approaches 1/4 of log_{2}(2x) ?

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

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limit as x approaches 1/4 of log_{2}(2x)

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

- 1

Solution steps

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

Plug in the value

x = \frac{1}{4}

= lo g_{2} (2 \cdot \frac{1}{4})

Simplify

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

= - 1

x \to 0 lim (\frac{2 arcsin ( x )}{3 x})

x \to - 2 lim (x^{2} + 2 x - 15)

x \to 0 lim (\frac{1}{2 ^{x} - 1})

x \to 0 lim (\frac{4 sin ( 3 x )}{x})

x \to \infty lim (1, + x)

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