limit as x approaches 0+of 4/x-ln(x)

Lösung

x \to 0 + lim (\frac{4}{x} - ln (x))

\infty

Schritte zur Lösung

x \to 0 + lim (\frac{4}{x} - ln (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{4}{x}) - x \to 0 + lim (ln (x))

x \to 0 + lim (\frac{4}{x}) = \infty

x \to 0 + lim (ln (x)) = - \infty

= \infty - (- \infty)

Wende die Unendlichkeitseigenschaft an:

\infty + \infty = \infty

= \infty

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

x \to \infty lim ((x + 4)^{\frac{1}{x}})

x \to 2 lim (5^{2} + 3)

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

x \to 0 + lim (x^{\frac{3}{x ^{4} + l n ( x )}})