limit as x approaches infinity of 1/(sqrt(x^2+17x)-\sqrt{x^2+5x)}

Lösung

x \to \infty lim (\frac{1}{x ^{2} + 17 x - x ^{2} + 5 x})

\frac{1}{6}

Dezimale

0.16666 \dots

Schritte zur Lösung

x \to \infty lim (\frac{1}{x ^{2} + 17 x - x ^{2} + 5 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} ( x ^{2} + 17 x - x ^{2} + 5 x )}

x \to \infty lim (1) = 1

x \to \infty lim (x^{2} + 17 x - x^{2} + 5 x) = 6

= \frac{1}{6}

\frac{d y}{d t} = - y

\frac{\partial}{\partial x} (cos (2 x) \cdot 2)

\int 0.06 q - 0.6 - \frac{7700}{q ^{2}} d q

\frac{d}{d x} (\frac{( 2 x + 11 ) ^{\frac{3}{2}}}{3})

x \to + 2 lim (3 x - 6)