limit as x approaches infinity of 2x^x

解答

x \to \infty lim (2 x^{x})

\infty

求解步骤

x \to \infty lim (2 x^{x})

x \to a lim [c \cdot f (x)] = c \cdot x \to a lim f (x)

= 2 \cdot x \to \infty lim (x^{x})

使用指数运算法则

= 2 \cdot x \to \infty lim (e^{x l n (x)})

使用极限链式法则:

\infty

= 2 \cdot \infty

运用无穷大属性:

c \cdot \infty = \infty

= \infty

y^{^{''}} + 3 y^{^{'}} = 0, y (0) = 9, y^{^{'}} (0) = - 6

n = 1 \sum \infty n (1 - p)^{n - 1}

a re a 9 x, x^{2} - 10, 0

\int e^{6 x} x^{3} d x

d er i v a t i v e y = ln (\frac{x + 3}{x - 3})