limit as x approaches-infinity of ((1-1)^{e-x}+(2-2)x^4+1)/(x^2)

Lösung

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

0

Schritte zur Lösung

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

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 - 1 ) ^{e - x} + ( 2 - 2 ) x ^{4} + 1 )}{lim _{x \to - \infty} ( x ^{2} )}

x \to - \infty lim ((1 - 1)^{e - x} + (2 - 2) x^{4} + 1) = 1

x \to - \infty lim (x^{2}) = \infty

= \frac{1}{\infty}

Wende die Unendlichkeitseigenschaft an:

\frac{c}{\infty} = 0

= 0

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

x \to \infty + lim (\frac{5 - 2 x}{3 x - 7})

\int \frac{1}{2} x^{\frac{4}{3}} d x

t an g e n t y = \frac{x ^{2}}{x + 9}, (1, \frac{1}{10})

\frac{\partial}{\partial x} ((x y^{2} + x^{3})^{4})