limit as x approaches 1 of (x^6-1)/(x-1)

Lösung

x \to 1 lim (\frac{x ^{6} - 1}{x - 1})

6

Schritte zur Lösung

x \to 1 lim (\frac{x ^{6} - 1}{x - 1})

Vereinfache

\frac{x ^{6} - 1}{x - 1} : (x + 1) (x^{4} + x^{2} + 1)

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

Setze den Wert

x = 1

ein

= (1 + 1) (1^{4} + 1^{2} + 1)

Vereinfache

= 6

\int_{0}^{1} \frac{9}{x ^{5}} d x

\int \frac{1}{( x ^{2} - 6 x + 11 ) ^{2}} d x

d er i v a t i v e y = - 8^{5 x^{2} - 4}

x \to - 1 lim (3 x^{4} - 2 x^{3} + 4 x)

\frac{\partial}{\partial x} (ln (1 + z) + x y^{2} + z)