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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

0

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

= 0

グラフ

人気の例

limit as x approaches 0 of xln(1/(x^2))

x \to 0 lim (x ln (\frac{1}{x ^{2}}))

limit as x approaches 2 of 4/([-2+4]^2)

x \to 2 lim (\frac{4}{[ - 2 + 4 ] ^{2}})

limit as x approaches 0+of 2(1/x-cot(x))

x \to 0 + lim (2 (\frac{1}{x} - cot (x)))

limit as x approaches 2-of (x^2-1)/(x-2)

x \to 2 - lim (\frac{x ^{2} - 1}{x - 2})

limit as x approaches 3 of-4x

x \to 3 lim (- 4 x)