limit as x approaches infinity of 1/((2x+1)^{1/x)}

Lösung

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

1

Schritte zur Lösung

x \to \infty lim (\frac{1}{( 2 x + 1 ) ^{\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{lim _{x \to \infty} ( 1 )}{lim _{x \to \infty} ( ( 2 x + 1 ) ^{\frac{1}{x}} )}

x \to \infty lim (1) = 1

x \to \infty lim ((2 x + 1)^{\frac{1}{x}}) = 1

= \frac{1}{1}

Vereinfache

= 1

\int e^{x} (sin (x)) d x

in v erse l a pl a ce \frac{2}{s ( s ^{2} + 4 s )}

\int_{6}^{8} \frac{84}{( x - 6 ) ^{3}} d x

\frac{d y}{d x} = 2 y sin (x)

2 x y \frac{d y}{d x} + x^{2} - y^{2} = 0