limit as x approaches 1 of (2x-2)/(\sqrt[3]{26+x)-3}

Lösung

x \to 1 lim (\frac{2 x - 2}{3 26 + x - 3})

54

Schritte zur Lösung

x \to 1 lim (\frac{2 x - 2}{3 26 + x - 3})

Wende das L'Hopital Theorem an

= x \to 1 lim \frac{2}{\frac{1}{3 ( x + 26 ) ^{\frac{2}{3}}}}

Setze den Wert

x = 1

ein

= \frac{2}{\frac{1}{3 ( 1 + 26 ) ^{\frac{2}{3}}}}

Vereinfache

\frac{2}{\frac{1}{3 ( 1 + 26 ) ^{\frac{2}{3}}}} : 54

= 54

x \to \frac{π}{2} + lim (tan (π - x))

x \to 3 lim (2 x - 2)

x \to \infty lim (\frac{2 x}{2 ^{x} ln ( 2 )})

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

x \to 3 lim (x^{2} + 9 x - 27)