What is the limit as x approaches 3 of (5x-6)/(4x+3) ?

The limit as x approaches 3 of (5x-6)/(4x+3) is 3/5

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limit as x approaches 3 of (5x-6)/(4x+3)

x \to 3 lim (\frac{5 x - 6}{4 x + 3})

\frac{3}{5}

Decimal Notation

0.6

Solution steps

x \to 3 lim (\frac{5 x - 6}{4 x + 3})

Plug in the value

x = 3

= \frac{5 \cdot 3 - 6}{4 \cdot 3 + 3}

Simplify

\frac{5 \cdot 3 - 6}{4 \cdot 3 + 3} : \frac{3}{5}

= \frac{3}{5}

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

x \to 2 lim (4 x^{2} - 8 x + 5)

x \to - 1 lim (5 x)

z \to 2 + lim (\frac{z + 7}{z ^{2} - 4})

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

What is the limit as x approaches 3 of (5x-6)/(4x+3) ?
The limit as x approaches 3 of (5x-6)/(4x+3) is 3/5