limit as x approaches 0-of (x^2)/6-7/x

Lösung

x \to 0 - lim (\frac{x ^{2}}{6} - \frac{7}{x})

\infty

Schritte zur Lösung

x \to 0 - lim (\frac{x ^{2}}{6} - \frac{7}{x})

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

mit Einschränkung des unbestimmten Ausdrucks

= x \to 0 - lim (\frac{x ^{2}}{6}) - x \to 0 - lim (\frac{7}{x})

x \to 0 - lim (\frac{x ^{2}}{6}) = 0

x \to 0 - lim (\frac{7}{x}) = - \infty

= 0 - (- \infty)

Vereinfache

0 - (- \infty) : \infty

= \infty

x \to \infty lim (3 \cdot x^{3})

\frac{d x}{d t} = 1.2 x (1 - \frac{x}{4200})

\frac{\partial}{\partial x} (\frac{( 2 π \cdot l )}{x})

\int x^{3} + 2 x^{2} - 1 d x

y^{^{'}} = (5 x + \frac{7}{x}) (7 x^{2} - 6)