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人気のある微分積分 >

limit as x approaches infinity of (sin(5x))/(5x)

解

x \to \infty lim (\frac{sin ( 5 x )}{5 x})

解

0

解答ステップ

x \to \infty lim (\frac{sin ( 5 x )}{5 x})

x \to a lim [c \cdot f (x)] = c \cdot x \to a lim f (x)

= \frac{1}{5} \cdot x \to \infty lim (\frac{sin ( 5 x )}{x})

挟み撃ちの原理を適用する:

0

= \frac{1}{5} \cdot 0

簡素化

= 0

グラフ

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