limit as x approaches infinity of (sin(13x))/(3x)

解答

x \to \infty lim (\frac{sin ( 13 x )}{3 x})

0

求解步骤

x \to \infty lim (\frac{sin ( 13 x )}{3 x})

x \to a lim [c \cdot f (x)] = c \cdot x \to a lim f (x)

= \frac{1}{3} \cdot x \to \infty lim (\frac{sin ( 13 x )}{x})

利用夹挤定理:

0

= \frac{1}{3} \cdot 0

化简

= 0

\frac{d}{d x} ((x + 2 y) (x^{2} y + x y^{2}))

d er i v a t i v e f (x) = x^{3} - 27 x + 9

\int \frac{5}{( 5 x + 2 ) ln ( 5 x + 2 )} d x

x \to 1 lim (x - 9)

\int (y e^{x y} + 2 x - 1) d y