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人気のある微分積分 >

limit as x approaches 0 of (tan(x))/x cos(x)

解

x \to 0 lim (\frac{tan ( x )}{x} cos (x))

解

1

解答ステップ

x \to 0 lim (\frac{tan ( x )}{x} cos (x))

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

不定形式の場合を除く

= x \to 0 lim (\frac{tan ( x )}{x}) \cdot x \to 0 lim (cos (x))

x \to 0 lim (\frac{tan ( x )}{x}) = 1

x \to 0 lim (cos (x)) = 1

= 1 \cdot 1

簡素化

= 1

グラフ

人気の例

limit as x approaches infinity of ((1+9)/x)^{(x/8)}

x \to \infty lim ((\frac{1 + 9}{x})^{(\frac{x}{8})})

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limit as x approaches 0 of (x+pisec(x))/(x^2-pi^2)

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limit as x approaches 0 of sqrt(3x)

x \to 0 lim (3 x)

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z \to 0 lim (\frac{∣ x ∣ - z}{z})