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

Lösung

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

1

Schritte zur Lösung

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

x \to 1 - lim (1) = 1

x \to 1 - lim (e^{\frac{1}{x - 1}}) = 0

= 1 - 0

Vereinfache

= 1

\int \frac{1}{17 - x ^{2}} d x

t a y l or x e^{x}

d er i v a t i v e f (x) = \frac{20}{3} x^{3} + 380 x^{2}

\frac{\partial}{\partial x} (3 ln (x) + ln (y))

\frac{\partial}{\partial x} (400 e^{x y})