limit as x approaches infinity of ((e^{x^4-x^2}))/2

Lösung

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

\infty

Schritte zur Lösung

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

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

= \frac{1}{2} \cdot x \to \infty lim (e^{x^{4} - x^{2}})

Wende die Kettenregel für Grenzen an:

\infty

= \frac{1}{2} \cdot \infty

Wende die Unendlichkeitseigenschaft an:

c \cdot \infty = \infty

= \infty

d er i v a t i v e f (x) = x 1 + x^{2}

\int \frac{e ^{- 2 x}}{1 + e ^{- x}} d x

\frac{\partial}{\partial x} (3 x^{2} - 2 x y + x - 3 y)

n = 0 \sum \infty \frac{1}{n ^{2} + 3}

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