limit as x approaches 0 of (sin(10x))/(sin(8x))

解答

x \to 0 lim (\frac{sin ( 10 x )}{sin ( 8 x )})

\frac{5}{4}

十进制

1.25

求解步骤

x \to 0 lim (\frac{sin ( 10 x )}{sin ( 8 x )})

如果

x \to a - lim f (x) = x \to a + lim f (x) = L

则

x \to a lim f (x) = L

x \to 0 - lim (\frac{sin ( 10 x )}{sin ( 8 x )}) = \frac{5}{4}

x \to 0 + lim (\frac{sin ( 10 x )}{sin ( 8 x )}) = \frac{5}{4}

= \frac{5}{4}

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