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人気のある微分積分 >

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

解

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

解

2

解答ステップ

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

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

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

x \to 0 lim (2) = 2

= 0 + 2

簡素化

= 2

グラフ

人気の例

limit as n approaches infinity of sin(2pin)

n \to \infty lim (sin (2 πn))

limit as x approaches 0 of sqrt(x^3-x^2)

x \to 0 lim (x^{3} - x^{2})

limit as x approaches 0 of (x/(1+x))^x

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

limit as x approaches 1 of x^2+3x-5

x \to 1 lim (x^{2} + 3 x - 5)

limit as x approaches-infinity of x+3x^{2/3}

x \to - \infty lim (x + 3 x^{\frac{2}{3}})