limit as x approaches 0+of xln(x)-1

Lösung

x \to 0 + lim (x ln (x) - 1)

- 1

Schritte zur Lösung

x \to 0 + lim (x ln (x) - 1)

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 (x ln (x)) - x \to 0 + lim (1)

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

x \to 0 + lim (1) = 1

= 0 - 1

Vereinfache

= - 1

x \to \infty lim (- 17 x^{2})

x \to 0 lim ((1 + 9 x)^{\frac{1}{x}})

x \to 4 lim (\frac{3}{( 4 - x ) ^{3}})

x \to 0 + lim (x x)

x \to 8 lim (\frac{x ^{2}}{x - 8})