limit as x approaches 0 of (1+x)^{2/x}

解答

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

e^{2}

十进制

7.38905 \dots

求解步骤

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

使用指数运算法则

= x \to 0 lim (e^{\frac{2}{x} l n (1 + x)})

使用极限链式法则:

e^{2}

= e^{2}

\int 5 tan (6 x) sec^{2} (6 x) d x

l a pl a ce t r an s f or m sin (5 t)

\frac{\partial}{\partial x} (- 3 x y (- 3 - x - y))

\frac{d y}{d x} = \frac{( x ^{2} + y )}{x ^{3}}

f (x) = ln (x + 2)