limit as x approaches infinity of (1+c/x)^{2x}

解答

x \to \infty lim ((1 + \frac{c}{x})^{2 x})

e^{2 c}

求解步骤

x \to \infty lim ((1 + \frac{c}{x})^{2 x})

使用指数运算法则

= x \to \infty lim (e^{2 x l n (1 + \frac{c}{x})})

使用极限链式法则:

e^{2 c}

= e^{2 c}

x \to 1 lim (x^{4} e^{- x^{2}})

\frac{d}{d x} (- 2 x e^{- x})

\int 5 sin (\frac{t}{2}) - 4 cos (2 t) d t

\frac{d}{d x} ((5 x + 7)^{2})

\int_{0}^{0.3} 600 x d x