limit as x approaches 0+of 7/x-ln(x)

Lösung

x \to 0 + lim (\frac{7}{x} - ln (x))

\infty

Schritte zur Lösung

x \to 0 + lim (\frac{7}{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{7}{x}) - x \to 0 + lim (ln (x))

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

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

= \infty - (- \infty)

Wende die Unendlichkeitseigenschaft an:

\infty + \infty = \infty

= \infty

x \to - 5 - lim (\frac{4 x ^{2} - 12}{x + 5})

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

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

x \to 1 lim (\frac{x ^{11} + 2 x - 3}{x ^{7} + x ^{2} - x - 1})

x \to 0 lim (cos (x))