limit as x approaches infinity of 4/(3x)

Lösung

x \to \infty lim (\frac{4}{3 x})

0

Schritte zur Lösung

x \to \infty lim (\frac{4}{3 x})

x \to a lim [c \cdot f (x)] = c \cdot x \to a lim f (x)

= \frac{4}{3} \cdot x \to \infty lim (\frac{1}{x})

x \to a lim [\frac{f ( x )}{g ( x )}] = \frac{lim _{x \to a} f ( x )}{lim _{x \to a} g ( x )}, x \to a lim g (x) \neq = 0

mit Einschränkung des unbestimmten Ausdrucks

= \frac{4}{3} \cdot \frac{lim _{x \to \infty} ( 1 )}{lim _{x \to \infty} ( x )}

x \to \infty lim (1) = 1

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

= \frac{4}{3} \cdot \frac{1}{\infty}

Vereinfache

\frac{4}{3} \cdot \frac{1}{\infty} : 0

= 0

x \to \infty lim (∣ x ∣^{x})

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

x \to π + lim (cot (2 x - π))

x \to 9 lim (9483)

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