What is the limit as z approaches 1/2 of (3z+1)/(2z-5) ?

The limit as z approaches 1/2 of (3z+1)/(2z-5) is -5/8

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limit as z approaches 1/2 of (3z+1)/(2z-5)

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

- \frac{5}{8}

Decimal

- 0.625

Solution steps

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

Plug in the value

z = \frac{1}{2}

= \frac{3 \cdot \frac{1}{2} + 1}{2 \cdot \frac{1}{2} - 5}

Simplify

\frac{3 \cdot \frac{1}{2} + 1}{2 \cdot \frac{1}{2} - 5} : - \frac{5}{8}

= - \frac{5}{8}

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What is the limit as z approaches 1/2 of (3z+1)/(2z-5) ?
The limit as z approaches 1/2 of (3z+1)/(2z-5) is -5/8