What is the limit as x approaches 3 of (3x^2-4x-15)/(x^2-5x+6) ?

The limit as x approaches 3 of (3x^2-4x-15)/(x^2-5x+6) is 14

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limit as x approaches 3 of (3x^2-4x-15)/(x^2-5x+6)

x \to 3 lim (\frac{3 x ^{2} - 4 x - 15}{x ^{2} - 5 x + 6})

14

Solution steps

x \to 3 lim (\frac{3 x ^{2} - 4 x - 15}{x ^{2} - 5 x + 6})

Simplify

\frac{3 x ^{2} - 4 x - 15}{x ^{2} - 5 x + 6} : \frac{3 x + 5}{x - 2}

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

Plug in the value

x = 3

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

Simplify

= 14

x^{2} + 2 x + 1, 3 x + 3

\frac{d}{d x} (\frac{c}{x ^{2}})

\frac{\partial}{\partial x} (3 y + 7)

\int (\frac{x ^{2}}{x}) d x

\int e^{x} 9 + e^{x} d x

What is the limit as x approaches 3 of (3x^2-4x-15)/(x^2-5x+6) ?
The limit as x approaches 3 of (3x^2-4x-15)/(x^2-5x+6) is 14