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Beliebt Rechnen >

limit as x approaches 0 of (tan(x)+x)/x

Lösung

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

Lösung

2

Schritte zur Lösung

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

Multipliziere aus

\frac{tan ( x ) + x}{x} : \frac{tan ( x )}{x} + 1

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

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

x \to 0 lim (1) = 1

= 1 + 1

Vereinfache

= 2

Graph

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