limit as x approaches infinity of xn(x)

Lösung

x \to \infty lim (x n (x))

\infty

Schritte zur Lösung

x \to \infty lim (x n x)

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

= n \cdot x \to \infty lim (xx)

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

mit Einschränkung des unbestimmten Ausdrucks

= n \cdot x \to \infty lim (x) \cdot x \to \infty lim (x)

x \to \infty lim (x) = \infty

= n \cdot \infty \cdot \infty

Vereinfache

n \cdot \infty \cdot \infty : \infty

= \infty

t an g e n t f (x) = x^{4} - 3 x^{2} + 2, at x = 1

\frac{d}{d t} (\frac{4}{3} π t^{3})

\int (sin^{2} (2 x)) (cos^{4} (2 x)) d x

d er i v a t i v e x^{2} - 8

d er i v a t i v e h (x) = (- 3 x + 2)^{4} (- 2 x + 3)^{3}