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Beliebt Rechnen >

limit as x approaches 0 of 1-(tan(kx))/x

Lösung

x \to 0 lim (1 - \frac{tan ( k x )}{x})

Lösung

1 - k

Schritte zur Lösung

x \to 0 lim (1 - \frac{tan ( k x )}{x})

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 (1) - x \to 0 lim (\frac{tan ( k x )}{x})

x \to 0 lim (1) = 1

x \to 0 lim (\frac{tan ( k x )}{x}) = k

= 1 - k

Graph

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