limit as x approaches 7 of (1/x-1/7)/(x-7)

解

x \to 7 lim (\frac{\frac{1}{x} - \frac{1}{7}}{x - 7})

- \frac{1}{49}

十進法表記

- 0.02040 \dots

解答ステップ

x \to 7 lim (\frac{\frac{1}{x} - \frac{1}{7}}{x - 7})

簡素化

\frac{\frac{1}{x} - \frac{1}{7}}{x - 7} : - \frac{1}{7 x}

= x \to 7 lim (- \frac{1}{7 x})

値を挿入する

x = 7

= - \frac{1}{7 \cdot 7}

簡素化

= - \frac{1}{49}