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

The limit as x approaches 3 of (3x-2)/(2x+2) is 7/8

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

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

\frac{7}{8}

Decimal

0.875

Solution steps

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

Plug in the value

x = 3

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

Simplify

= \frac{7}{8}

x \to 3 lim (\frac{[ x - 3 ]}{x - 3})

x \to 6 lim (3 x + 6)

x \to - 4 lim (\frac{x}{x - 4})

x \to - \infty lim (∣ x ∣^{x})

x \to 0 lim (5 x^{s i n (x)})

What is the limit as x approaches 3 of (3x-2)/(2x+2) ?
The limit as x approaches 3 of (3x-2)/(2x+2) is 7/8