What is the limit as x approaches 5 of (3x^2-13x-10)/(2x^2-7x-15) ?

The limit as x approaches 5 of (3x^2-13x-10)/(2x^2-7x-15) is 17/13

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limit as x approaches 5 of (3x^2-13x-10)/(2x^2-7x-15)

x \to 5 lim (\frac{3 x ^{2} - 13 x - 10}{2 x ^{2} - 7 x - 15})

\frac{17}{13}

Decimal Notation

1.30769 \dots

Solution steps

x \to 5 lim (\frac{3 x ^{2} - 13 x - 10}{2 x ^{2} - 7 x - 15})

Simplify

\frac{3 x ^{2} - 13 x - 10}{2 x ^{2} - 7 x - 15} : \frac{3 x + 2}{2 x + 3}

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

Plug in the value

x = 5

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

Simplify

= \frac{17}{13}

\frac{d}{d x} (\frac{x ^{2} - 3 x}{x + 1})

\int 9 x e^{17 x} d x

\int cot^{3} (2 x) d x

(x^{2} + 4)^{7}

x \to a lim (2 - x)

What is the limit as x approaches 5 of (3x^2-13x-10)/(2x^2-7x-15) ?
The limit as x approaches 5 of (3x^2-13x-10)/(2x^2-7x-15) is 17/13