limit as x approaches-infinity of e^x-1

Lösung

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

- 1

Schritte zur Lösung

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

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

x \to - \infty lim (1) = 1

= 0 - 1

Vereinfache

= - 1

x \to \frac{π}{4} lim (\frac{sec ^{2} ( x ) - 2 tan ( x )}{1 + cos ( 4 x )})

y^{^{''}} - (\frac{6}{x}) y^{^{'}} - (\frac{9}{x ^{2}}) y = 0

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

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

x^{^{''}} + k x^{^{'}} + x = 0