limit as x approaches 0 of x/(sin(7x))

解答

x \to 0 lim (\frac{x}{sin ( 7 x )})

\frac{1}{7}

十进制

0.14285 \dots

求解步骤

x \to 0 lim (\frac{x}{sin ( 7 x )})

使用洛必达法则

= x \to 0 lim (\frac{1}{cos ( 7 x ) \cdot 7})

代入值

x = 0

= \frac{1}{cos ( 7 \cdot 0 ) \cdot 7}

cos (7 \cdot 0) \cdot 7 = 7

= \frac{1}{7}

t an g e n t y = 2 x^{2} - x + 1, (1, 2)

x \to 1 lim ((x^{2} + x)^{2})

d er i v a t i v e f (t) = t e^{5 - 2 t}

\frac{d}{d a} (sin (a) cos (a))

(x^{2} + 2 x y) d x + x d y = 0