limit as x approaches 6 of cos(1/x-1/6)

Lösung

x \to 6 lim (cos (\frac{1}{x} - \frac{1}{6}))

1

Schritte zur Lösung

x \to 6 lim (cos (\frac{1}{x} - \frac{1}{6}))

Setze den Wert

x = 6

ein

= cos (\frac{1}{6} - \frac{1}{6})

Vereinfache

cos (\frac{1}{6} - \frac{1}{6}) : 1

= 1

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

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

x \to 0 lim (sin (∣ x ∣) (\frac{1}{x}))

x \to - 4 lim (g (x))

x \to 3 lim (x (3))