limit as x approaches 0 of (sin(x-pi))/x

解答

x \to 0 lim (\frac{sin ( x - π )}{x})

- 1

求解步骤

x \to 0 lim (\frac{sin ( x - π )}{x})

使用洛必达法则

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

代入值

x = 0

= \frac{- cos ( 0 )}{1}

化简

\frac{- cos ( 0 )}{1} : - 1

= - 1

h \to 0 lim (\frac{e ^{h} - 1}{2 h})

h \to 0 lim (cos (h))

x \to - 1 lim (\frac{1 - x ^{4}}{x + 1})

x \to 0 lim (sin (x) - tan (x))

x \to 5 + lim (f (x))