limit as n approaches infinity of 1/(3n)

Lösung

n \to \infty lim (\frac{1}{3 n})

0

Schritte zur Lösung

n \to \infty lim (\frac{1}{3 n})

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

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

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{1}{3} \cdot \frac{lim _{n \to \infty} ( 1 )}{lim _{n \to \infty} ( n )}

n \to \infty lim (1) = 1

n \to \infty lim (n) = \infty

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

Vereinfache

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

= 0

x \to - 2 + lim (\frac{2 - ∣ x ∣}{2 + x})

\frac{\partial}{\partial x} ((\frac{1}{12}) π x^{2} y)

\int \frac{1}{( 25 - x ^{2} ) ^{\frac{3}{2}}} d x

\int \frac{2 x - 3}{x ^{2} 6 x ^{13}} d x

\int \frac{e ^{2 x}}{e ^{x} + 1} d x