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

Lösung

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

- 1

Schritte zur Lösung

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

Setze den Wert

x = 1

ein

= 1 \cdot ln (1) - 1

Vereinfache

1 \cdot ln (1) - 1 : - 1

= - 1

\frac{\partial}{\partial x} ((x + y) e^{y})

\int \frac{k}{r} (- \frac{r ^{2}}{4}) d r

\int \frac{1}{x ^{2} 400 - x ^{2}} d x

\frac{d}{d x} ((2 x^{3} + 4) (x^{4} - 4 x))

\int_{0}^{1} \frac{5}{1 - x ^{2}} d x