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人気のある微分積分 >

limit as x approaches 0 of xcot(pix)

解

x \to 0 lim (x cot (π x))

解

\frac{1}{π}

+1

十進法表記

0.31830 \dots

解答ステップ

x \to 0 lim (x cot (π x))

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

の場合は

x \to a lim f (x) = L

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

x \to 0 + lim (x cot (π x)) = \frac{1}{π}

= \frac{1}{π}

グラフ

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