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

解答

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

\frac{17}{13}

十进制

1.30769 \dots

求解步骤

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

化简

\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})

代入值

x = 5

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

化简

= \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

d er i v a t i v e (x^{2} + 4)^{7}

x \to a lim (2 - x)