limit as x approaches 0 of (sin(10x))/x

解答

x \to 0 lim (\frac{sin ( 10 x )}{x})

10

求解步骤

x \to 0 lim (\frac{sin ( 10 x )}{x})

使用洛必达法则

= x \to 0 lim (\frac{cos ( 10 x ) \cdot 10}{1})

代入值

x = 0

= \frac{cos ( 10 \cdot 0 ) \cdot 10}{1}

化简

\frac{cos ( 10 \cdot 0 ) \cdot 10}{1} : 10

= 10

\int_{0}^{2} \frac{4 x + 3}{x ^{4}} d x

\int (5 x^{3} - 7 x^{2} + 2 x + 1) d x

\frac{d}{d x} (30 + \frac{1}{x + 1} - 3 x^{2})

\frac{d}{d x} (\frac{1}{5 x ^{2} + 2 x})

in v erse l a pl a ce \frac{5 s + 3}{( s - 1 ) ( s ^{2} + 2 s + 5 )}