limit as x approaches 1 of 1/x-1/(e^x-1)

Lösung

x \to 1 lim (\frac{1}{x} - \frac{1}{e ^{x} - 1})

1 - \frac{1}{e - 1}

Dezimale

0.41802 \dots

Schritte zur Lösung

x \to 1 lim (\frac{1}{x} - \frac{1}{e ^{x} - 1})

Setze den Wert

x = 1

ein

= \frac{1}{1} - \frac{1}{e ^{1} - 1}

Vereinfache

= 1 - \frac{1}{e - 1}

d er i v a t i v e ln (x + x^{2} - 1)

\frac{\partial}{\partial x} (e^{x + y} (x^{2} - y^{2}))

\int_{0}^{1} (x^{2} + x) d x

\int_{- 1}^{2} 3 x 3 x^{2} + 2 d x

\int 10 d x