What is the limit as x approaches 1/4 of 3sqrt(4x+8) ?

The limit as x approaches 1/4 of 3sqrt(4x+8) is 9

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limit as x approaches 1/4 of 3sqrt(4x+8)

x \to \frac{1}{4} lim (3 4 x + 8)

9

Solution steps

x \to \frac{1}{4} lim (3 4 x + 8)

Plug in the value

x = \frac{1}{4}

= 3 4 \cdot \frac{1}{4} + 8

Simplify

3 4 \cdot \frac{1}{4} + 8 : 9

= 9

x \to - 5 lim ((x^{2} + 1)^{\frac{1}{3}})

x \to 0 lim (x^{2} + 2 x - 4)

x \to 0 lim (sin^{x^{2}} (x))

x \to \frac{1}{4} lim (4 x (x - \frac{3}{8}))

x \to 1 lim (ln (4 x) + e^{x})

What is the limit as x approaches 1/4 of 3sqrt(4x+8) ?
The limit as x approaches 1/4 of 3sqrt(4x+8) is 9