What is the limit as x approaches 1 of (2x-7)/(4x+5) ?

The limit as x approaches 1 of (2x-7)/(4x+5) is -5/9

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limit as x approaches 1 of (2x-7)/(4x+5)

x \to 1 lim (\frac{2 x - 7}{4 x + 5})

- \frac{5}{9}

Decimal

- 0.55555 \dots

Solution steps

x \to 1 lim (\frac{2 x - 7}{4 x + 5})

Plug in the value

x = 1

= \frac{2 \cdot 1 - 7}{4 \cdot 1 + 5}

Simplify

\frac{2 \cdot 1 - 7}{4 \cdot 1 + 5} : - \frac{5}{9}

= - \frac{5}{9}

What is the limit as x approaches 1 of (2x-7)/(4x+5) ?
The limit as x approaches 1 of (2x-7)/(4x+5) is -5/9