What is the limit as x approaches 1 of (3x+2)/(4x-5) ?

The limit as x approaches 1 of (3x+2)/(4x-5) is -5

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limit as x approaches 1 of (3x+2)/(4x-5)

x \to 1 lim (\frac{3 x + 2}{4 x - 5})

- 5

Solution steps

x \to 1 lim (\frac{3 x + 2}{4 x - 5})

Plug in the value

x = 1

= \frac{3 \cdot 1 + 2}{4 \cdot 1 - 5}

Simplify

\frac{3 \cdot 1 + 2}{4 \cdot 1 - 5} : - 5

= - 5

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What is the limit as x approaches 1 of (3x+2)/(4x-5) ?
The limit as x approaches 1 of (3x+2)/(4x-5) is -5