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人気のある微分積分 >

limit as x approaches infinity+of (1+1/x)^{x/6}

解

x \to \infty + lim ((1 + \frac{1}{x})^{\frac{x}{6}})

解

6 e

+1

十進法表記

1.18136 \dots

解答ステップ

x \to \infty lim ((1 + \frac{1}{x})^{\frac{x}{6}})

指数の規則を適用する

= x \to \infty lim (e^{\frac{x}{6} l n (1 + \frac{1}{x})})

連鎖法則の制限を適用する:

6 e

= 6 e

グラフ

人気の例

sum from n=6 to infinity}(\sqrt{n of)/(n^2+1)

n = 6 \sum \infty \frac{n}{n ^{2} + 1}

(\partial)/(\partial y)(x^2yz^2)

\frac{\partial}{\partial y} (x^{2} y z^{2})

(\partial)/(\partial x)(1-ln(x))

\frac{\partial}{\partial x} (1 - ln (x))

integral from 1 to 3 of x(2.25)/(x^3)

\int_{1}^{3} x \frac{2.25}{x ^{3}} d x

y^{''}+10y^'+21y=0,y(0)=10,y^'(0)=-42

y^{^{''}} + 10 y^{^{'}} + 21 y = 0, y (0) = 10, y^{^{'}} (0) = - 42