limit as x approaches infinity of f(x)(x)^2

Lösung

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

\infty

Schritte zur Lösung

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

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

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

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

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

= f \cdot \infty \cdot \infty

Vereinfache

f \cdot \infty \cdot \infty : \infty

= \infty

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

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

f (x) = \frac{cos ( x )}{1 - sin ( x )}

\frac{\partial}{\partial y} (6 x y - 2 + 10 x^{2} y)

\frac{d}{d x} (ln (sin^{3} (x^{2} + 7)))