limit as θ approaches 0 of θ/(sin(θ))

解答

θ \to 0 lim (\frac{θ}{sin ( θ )})

1

求解步骤

θ \to 0 lim (\frac{θ}{sin ( θ )})

使用洛必达法则

= θ \to 0 lim (\frac{1}{cos ( θ )})

代入值

θ = 0

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

化简

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

= 1

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