limit as x approaches 81 of ((\sqrt[4]{x}-3))/(x-81)

Lösung

x \to 81 lim (\frac{( 4 x - 3 )}{x - 81})

\frac{1}{108}

Dezimale

0.00925 \dots

Schritte zur Lösung

x \to 81 lim (\frac{4 x - 3}{x - 81})

Wende das L'Hopital Theorem an

= x \to 81 lim (\frac{\frac{1}{4 x ^{\frac{3}{4}}}}{1})

Setze den Wert

x = 81

ein

= \frac{\frac{1}{4 \cdot 8 1 ^{\frac{3}{4}}}}{1}

Vereinfache

\frac{\frac{1}{4 \cdot 8 1 ^{\frac{3}{4}}}}{1} : \frac{1}{108}

= \frac{1}{108}

\frac{\partial}{\partial u} (b ((\frac{( N u )}{V ( u )})^{(\frac{2}{3})}))

\int_{1}^{\infty} \frac{1}{x ^{2}} d x

t a y l or ln (x + 1), 2

\frac{\partial}{\partial x} (\frac{x ^{2}}{( y - x ) ^{2}})

n = 1 \sum \infty \frac{2}{n ^{8}}