limit as x approaches infinity of 4+7/x

Lösung

x \to \infty lim (4 + \frac{7}{x})

4

Schritte zur Lösung

x \to \infty lim (4 + \frac{7}{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 (4) + x \to \infty lim (\frac{7}{x})

x \to \infty lim (4) = 4

x \to \infty lim (\frac{7}{x}) = 0

= 4 + 0

Vereinfache

= 4

n = 0 \sum \infty \frac{( - 1 ) ^{n}}{n}

n = 0 \sum \infty 4 (\frac{1}{2})^{n - 2}

n = 3 \sum \infty \frac{1}{n ^{2} - 2 n}

n = 1 \sum \infty arccos (\frac{1}{n}) - arccos (\frac{1}{n + 1})

n = 3 \sum \infty \frac{1}{4 n ^{2} - 1}