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

Wende die Unendlichkeitseigenschaft an:

c - \infty = - \infty

= - \infty

\frac{d}{d x} (\frac{3 ( 9 ^{x} )}{x ^{5}})

\int \frac{1}{x ^{5}} sin (\frac{1}{x ^{4}}) d x

y^{^{'}} - 4 y^{2} = 2 t y^{2}

2 x^{3} y^{^{'}} = y (2 x^{2} - y^{2})

t an g e n t f (x) = 12 (x - \frac{1}{x})^{2}, at x = 2