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人気のある微分積分 >

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

解

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

解

2

解答ステップ

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

x

を

x + tan (x) : x (1 + \frac{tan ( x )}{x})

からくくり出す

= x \to 0 lim \frac{x ( 1 + \frac{t a n ( x )}{x} )}{x}

共通因数を約分する:

x

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

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

不定形式の場合を除く

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

x \to 0 lim (1) = 1

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

= 1 + 1

簡素化

= 2

グラフ

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