What is the limit as x approaches 1/2 of 4x(3x+4)^2 ?

The limit as x approaches 1/2 of 4x(3x+4)^2 is 121/2

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limit as x approaches 1/2 of 4x(3x+4)^2

x \to \frac{1}{2} lim (4 x (3 x + 4)^{2})

\frac{121}{2}

Decimal

60.5

Solution steps

x \to \frac{1}{2} lim (4 x (3 x + 4)^{2})

Plug in the value

x = \frac{1}{2}

= 4 \cdot \frac{1}{2} (3 \cdot \frac{1}{2} + 4)^{2}

Simplify

4 \cdot \frac{1}{2} (3 \cdot \frac{1}{2} + 4)^{2} : \frac{121}{2}

= \frac{121}{2}

What is the limit as x approaches 1/2 of 4x(3x+4)^2 ?
The limit as x approaches 1/2 of 4x(3x+4)^2 is 121/2