limit as x approaches infinity of 3+8/x

Lösung

x \to \infty lim (3 + \frac{8}{x})

3

Schritte zur Lösung

x \to \infty lim (3 + \frac{8}{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 \infty lim (3) + x \to \infty lim (\frac{8}{x})

x \to \infty lim (3) = 3

x \to \infty lim (\frac{8}{x}) = 0

= 3 + 0

Vereinfache

= 3

x \to 0 + lim (x^{2} cot (4 x^{2}))

x \to 2 lim (3 x^{2} + 3 x + 1)

x \to 0 + lim (ln (cos (x)))

x \to 2 + lim (\frac{x ^{2} - 5 x + 6}{x ^{2} - 7 x + 12})

x \to 0 lim (cos (x) \cdot ln (x))