limit as x approaches-1 of (x+1)/(x^4-1)

Lösung

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

- \frac{1}{4}

Dezimale

- 0.25

Schritte zur Lösung

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

Vereinfache

\frac{x + 1}{x ^{4} - 1} : \frac{1}{( x ^{2} + 1 ) ( x - 1 )}

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

Setze den Wert

x = - 1

ein

= \frac{1}{( ( - 1 ) ^{2} + 1 ) ( - 1 - 1 )}

Vereinfache

\frac{1}{( ( - 1 ) ^{2} + 1 ) ( - 1 - 1 )} : - \frac{1}{4}

= - \frac{1}{4}

x \to \frac{1}{8} lim (\frac{1}{x} + x^{1})

x \to 0 lim (\frac{4 ^{x} - 1}{5 x})

x \to 0 lim (\frac{sin ( x ) cos ( x )}{x ( 1 + cos ( x ) )})

x \to 0 lim (x^{2} ln^{2} (x))

x \to \infty - lim (cos (x))