limit as x approaches 0 of x/(-2x^5+15x)

解答

x \to 0 lim (\frac{x}{- 2 x ^{5} + 15 x})

\frac{1}{15}

十进制

0.06666 \dots

求解步骤

x \to 0 lim (\frac{x}{- 2 x ^{5} + 15 x})

化简

\frac{x}{- 2 x ^{5} + 15 x} : \frac{1}{- 2 x ^{4} + 15}

= x \to 0 lim (\frac{1}{- 2 x ^{4} + 15})

代入值

x = 0

= \frac{1}{- 2 \cdot 0 ^{4} + 15}

化简

= \frac{1}{15}

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