limit as x approaches 1+of (1+x)/(1-x)

Lösung

x \to 1 + lim (\frac{1 + x}{1 - x})

- \infty

Schritte zur Lösung

x \to 1 + lim (\frac{1 + x}{1 - x})

\frac{1 + x}{1 - x} = (1 + x) \frac{1}{1 - x}

= x \to 1 + lim ((1 + x) \frac{1}{1 - x})

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

mit Einschränkung des unbestimmten Ausdrucks

= x \to 1 + lim (1 + x) \cdot x \to 1 + lim (\frac{1}{1 - x})

x \to 1 + lim (1 + x) = 2

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

= 2 (- \infty)

Wende die Unendlichkeitseigenschaft an:

c \cdot (- \infty) = - \infty

= - \infty

\frac{d}{d x} (6 e)

\int \frac{- 4 x - 10}{x ^{3}} d x

a re a f (x) = x^{2} - 12, g (x) = x - 6, x = - 2, x = 3

\int 3 x^{7} + 4 x^{5} - 2 x^{3} - x + 1 d x

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