limit as x approaches infinity of c/x

Lösung

x \to \infty lim (\frac{c}{x})

0

Schritte zur Lösung

x \to \infty lim (\frac{c}{x})

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

= c \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

= c \frac{lim _{x \to \infty} ( 1 )}{lim _{x \to \infty} ( x )}

x \to \infty lim (1) = 1

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

= c \frac{1}{\infty}

Vereinfache

c \frac{1}{\infty} : 0

= 0

t \to 1 lim (\frac{5 t ^{4} - 4 t ^{2} - 1}{10 - t - 9 t ^{3}})

n \to \infty lim (\frac{3 ^{2 n}}{n !})

x \to 0 lim (+ (sin^{x} (x)))

x \to 0 + lim ((1 + \frac{2}{x})^{5 x})

x \to 2 lim (\frac{1 + x}{x ^{2} - 4})